Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910479935103321 |
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910788848003321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910818014103321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Almost complex and complex structures / C. C. Hsiung
| Almost complex and complex structures / C. C. Hsiung |
| Autore | Hsiung, Chuan-Chih |
| Pubbl/distr/stampa | Singapore : World Scientific, c1995 |
| Descrizione fisica | xv, 310 p. : ill. ; 24 cm |
| Disciplina | 510.36 |
| Collana | Series in pure mathematics ; 20 |
| Soggetto topico |
omplex manifolds
Geometry Hermitian structures Riemannian manifolds |
| ISBN | 9810217129 |
| Classificazione | AMS 53C15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003670829707536 |
|
Hsiung, Chuan-Chih
|
||
| Singapore : World Scientific, c1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang
| Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang |
| Autore | Wang Feng-Yu |
| Pubbl/distr/stampa | Singapore : , : World Scientific Publishing, , 2014 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina | 516.373 |
| Collana | Advanced Series on Statistical Science & Applied Probability |
| Soggetto topico |
Riemannian manifolds
Diffusion processes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4452-65-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Preliminaries; 1.1 Riemannian manifold; 1.1.1 Differentiable manifold; 1.1.2 Riemannian manifold; 1.1.3 Some formulae and comparison results; 1.2 Riemannian manifold with boundary; 1.3 Coupling and applications; 1.3.1 Transport problem and Wasserstein distance; 1.3.2 Optimal coupling and optimal map; 1.3.3 Coupling for stochastic processes; 1.3.4 Coupling by change of measure; 1.4 Harnack inequalities and applications; 1.4.1 Harnack inequality; 1.4.2 Shift Harnack inequality; 1.5 Harnack inequality and derivative estimate
1.5.1 Harnack inequality and entropy-gradient estimate1.5.2 Harnack inequality and L2-gradient estimate; 1.5.3 Harnack inequalities and gradient-gradient estimates; 1.6 Functional inequalities and applications; 1.6.1 Poincar e type inequality and essential spectrum; 1.6.2 Exponential decay in the tail norm; 1.6.3 The F-Sobolev inequality; 1.6.4 Weak Poincare inequality; 1.6.5 Equivalence of irreducibility and weak Poincare inequality; 2. Diffusion Processes on Riemannian Manifolds without Boundary; 2.1 Brownian motion with drift; 2.2 Formulae for Pt and RicZ 2.3 Equivalent semigroup inequalities for curvature lower bound2.4 Applications of equivalent semigroup inequalities; 2.5 Transportation-cost inequality; 2.5.1 From super Poincare to weighted log-Sobolev inequalities; 2.5.2 From log-Sobolev to transportation-cost inequalities; 2.5.3 From super Poincare to transportation-cost inequalities; 2.5.4 Super Poincare inequality by perturbations; 2.6 Log-Sobolev inequality: Different roles of Ric and Hess; 2.6.1 Exponential estimate and concentration of; 2.6.2 Harnack inequality and the log-Sobolev inequality 2.6.3 Hypercontractivity and ultracontractivity2.7 Curvature-dimension condition and applications; 2.7.1 Gradient and Harnack inequalities; 2.7.2 HWI inequalities; 2.8 Intrinsic ultracontractivity on non-compact manifolds; 2.8.1 The intrinsic super Poincare inequality; 2.8.2 Curvature conditions for intrinsic ultracontractivity; 2.8.3 Some examples; 3. Reflecting Diffusion Processes on Manifolds with Boundary; 3.1 Kolmogorov equations and the Neumann problem; 3.2 Formulae for Pt, RicZ and I; 3.2.1 Formula for Pt; 3.2.2 Formulae for RicZ and I; 3.2.3 Gradient estimates 3.3 Equivalent semigroup inequalities for curvature conditionand lower bound of I3.3.1 Equivalent statements for lower bounds of RicZ and I; 3.3.2 Equivalent inequalities for curvature-dimension condition and lower bound of I; 3.4 Harnack inequalities for SDEs on Rd and extension to nonconvex manifolds; 3.4.1 Construction of the coupling; 3.4.2 Harnack inequality on Rd; 3.4.3 Extension to manifolds with convex boundary; 3.4.4 Neumann semigroup on non-convex manifolds; 3.5 Functional inequalities; 3.5.1 Estimates for inequality constants on compact manifolds 3.5.2 A counterexample for Bakry-Emery criterion |
| Record Nr. | UNINA-9910453237703321 |
|
Wang Feng-Yu
|
||
| Singapore : , : World Scientific Publishing, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang, Beijing Normal University, China & Swansea University, UK
| Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang, Beijing Normal University, China & Swansea University, UK |
| Autore | Wang Feng-Yu |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xii, 379 pages) : illustrations |
| Disciplina | 516.373 |
| Collana | Advanced Series on Statistical Science & Applied Probability |
| Soggetto topico |
Riemannian manifolds
Diffusion processes |
| ISBN | 981-4452-65-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Preliminaries; 1.1 Riemannian manifold; 1.1.1 Differentiable manifold; 1.1.2 Riemannian manifold; 1.1.3 Some formulae and comparison results; 1.2 Riemannian manifold with boundary; 1.3 Coupling and applications; 1.3.1 Transport problem and Wasserstein distance; 1.3.2 Optimal coupling and optimal map; 1.3.3 Coupling for stochastic processes; 1.3.4 Coupling by change of measure; 1.4 Harnack inequalities and applications; 1.4.1 Harnack inequality; 1.4.2 Shift Harnack inequality; 1.5 Harnack inequality and derivative estimate
1.5.1 Harnack inequality and entropy-gradient estimate1.5.2 Harnack inequality and L2-gradient estimate; 1.5.3 Harnack inequalities and gradient-gradient estimates; 1.6 Functional inequalities and applications; 1.6.1 Poincar e type inequality and essential spectrum; 1.6.2 Exponential decay in the tail norm; 1.6.3 The F-Sobolev inequality; 1.6.4 Weak Poincare inequality; 1.6.5 Equivalence of irreducibility and weak Poincare inequality; 2. Diffusion Processes on Riemannian Manifolds without Boundary; 2.1 Brownian motion with drift; 2.2 Formulae for Pt and RicZ 2.3 Equivalent semigroup inequalities for curvature lower bound2.4 Applications of equivalent semigroup inequalities; 2.5 Transportation-cost inequality; 2.5.1 From super Poincare to weighted log-Sobolev inequalities; 2.5.2 From log-Sobolev to transportation-cost inequalities; 2.5.3 From super Poincare to transportation-cost inequalities; 2.5.4 Super Poincare inequality by perturbations; 2.6 Log-Sobolev inequality: Different roles of Ric and Hess; 2.6.1 Exponential estimate and concentration of; 2.6.2 Harnack inequality and the log-Sobolev inequality 2.6.3 Hypercontractivity and ultracontractivity2.7 Curvature-dimension condition and applications; 2.7.1 Gradient and Harnack inequalities; 2.7.2 HWI inequalities; 2.8 Intrinsic ultracontractivity on non-compact manifolds; 2.8.1 The intrinsic super Poincare inequality; 2.8.2 Curvature conditions for intrinsic ultracontractivity; 2.8.3 Some examples; 3. Reflecting Diffusion Processes on Manifolds with Boundary; 3.1 Kolmogorov equations and the Neumann problem; 3.2 Formulae for Pt, RicZ and I; 3.2.1 Formula for Pt; 3.2.2 Formulae for RicZ and I; 3.2.3 Gradient estimates 3.3 Equivalent semigroup inequalities for curvature conditionand lower bound of I3.3.1 Equivalent statements for lower bounds of RicZ and I; 3.3.2 Equivalent inequalities for curvature-dimension condition and lower bound of I; 3.4 Harnack inequalities for SDEs on Rd and extension to nonconvex manifolds; 3.4.1 Construction of the coupling; 3.4.2 Harnack inequality on Rd; 3.4.3 Extension to manifolds with convex boundary; 3.4.4 Neumann semigroup on non-convex manifolds; 3.5 Functional inequalities; 3.5.1 Estimates for inequality constants on compact manifolds 3.5.2 A counterexample for Bakry-Emery criterion |
| Record Nr. | UNINA-9910790868003321 |
|
Wang Feng-Yu
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang, Beijing Normal University, China & Swansea University, UK
| Analysis for diffusion processes on Riemannian manifolds / / Feng-Yu Wang, Beijing Normal University, China & Swansea University, UK |
| Autore | Wang Feng-Yu |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xii, 379 pages) : illustrations |
| Disciplina | 516.373 |
| Collana | Advanced Series on Statistical Science & Applied Probability |
| Soggetto topico |
Riemannian manifolds
Diffusion processes |
| ISBN | 981-4452-65-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Preliminaries; 1.1 Riemannian manifold; 1.1.1 Differentiable manifold; 1.1.2 Riemannian manifold; 1.1.3 Some formulae and comparison results; 1.2 Riemannian manifold with boundary; 1.3 Coupling and applications; 1.3.1 Transport problem and Wasserstein distance; 1.3.2 Optimal coupling and optimal map; 1.3.3 Coupling for stochastic processes; 1.3.4 Coupling by change of measure; 1.4 Harnack inequalities and applications; 1.4.1 Harnack inequality; 1.4.2 Shift Harnack inequality; 1.5 Harnack inequality and derivative estimate
1.5.1 Harnack inequality and entropy-gradient estimate1.5.2 Harnack inequality and L2-gradient estimate; 1.5.3 Harnack inequalities and gradient-gradient estimates; 1.6 Functional inequalities and applications; 1.6.1 Poincar e type inequality and essential spectrum; 1.6.2 Exponential decay in the tail norm; 1.6.3 The F-Sobolev inequality; 1.6.4 Weak Poincare inequality; 1.6.5 Equivalence of irreducibility and weak Poincare inequality; 2. Diffusion Processes on Riemannian Manifolds without Boundary; 2.1 Brownian motion with drift; 2.2 Formulae for Pt and RicZ 2.3 Equivalent semigroup inequalities for curvature lower bound2.4 Applications of equivalent semigroup inequalities; 2.5 Transportation-cost inequality; 2.5.1 From super Poincare to weighted log-Sobolev inequalities; 2.5.2 From log-Sobolev to transportation-cost inequalities; 2.5.3 From super Poincare to transportation-cost inequalities; 2.5.4 Super Poincare inequality by perturbations; 2.6 Log-Sobolev inequality: Different roles of Ric and Hess; 2.6.1 Exponential estimate and concentration of; 2.6.2 Harnack inequality and the log-Sobolev inequality 2.6.3 Hypercontractivity and ultracontractivity2.7 Curvature-dimension condition and applications; 2.7.1 Gradient and Harnack inequalities; 2.7.2 HWI inequalities; 2.8 Intrinsic ultracontractivity on non-compact manifolds; 2.8.1 The intrinsic super Poincare inequality; 2.8.2 Curvature conditions for intrinsic ultracontractivity; 2.8.3 Some examples; 3. Reflecting Diffusion Processes on Manifolds with Boundary; 3.1 Kolmogorov equations and the Neumann problem; 3.2 Formulae for Pt, RicZ and I; 3.2.1 Formula for Pt; 3.2.2 Formulae for RicZ and I; 3.2.3 Gradient estimates 3.3 Equivalent semigroup inequalities for curvature conditionand lower bound of I3.3.1 Equivalent statements for lower bounds of RicZ and I; 3.3.2 Equivalent inequalities for curvature-dimension condition and lower bound of I; 3.4 Harnack inequalities for SDEs on Rd and extension to nonconvex manifolds; 3.4.1 Construction of the coupling; 3.4.2 Harnack inequality on Rd; 3.4.3 Extension to manifolds with convex boundary; 3.4.4 Neumann semigroup on non-convex manifolds; 3.5 Functional inequalities; 3.5.1 Estimates for inequality constants on compact manifolds 3.5.2 A counterexample for Bakry-Emery criterion |
| Record Nr. | UNINA-9910806814403321 |
|
Wang Feng-Yu
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis for diffusion processes on Riemannian manifolds / Feng-Yu Wang
| Analysis for diffusion processes on Riemannian manifolds / Feng-Yu Wang |
| Autore | Wang, Feng-Yu |
| Pubbl/distr/stampa | Singapore ; Hackensack, N.J. : World Scientific Pub. Co., c2014 |
| Descrizione fisica | xii, 379 p. ; 24 cm |
| Disciplina | 516.373 |
| Collana | Advanced series on statistical science & applied probability, 1793-091X ; 18 |
| Soggetto topico |
Riemannian manifolds
Diffusion processes |
| ISBN | 9789814452649 |
| Classificazione |
AMS 60J60
AMS 58J65 AMS 60H LC QA649.W36 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002799039707536 |
|
Wang, Feng-Yu
|
||
| Singapore ; Hackensack, N.J. : World Scientific Pub. Co., c2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
| The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
| Autore | Lin Fanghua |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 514/.74 |
| Altri autori (Persone) | WangChangyou <1967-> |
| Soggetto topico |
Harmonic maps
Heat equation Riemannian manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93808-4
9786611938086 981-277-953-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
| Record Nr. | UNINA-9910454064403321 |
|
Lin Fanghua
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
| The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
| Autore | Lin Fanghua |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 514/.74 |
| Altri autori (Persone) | WangChangyou <1967-> |
| Soggetto topico |
Harmonic maps
Heat equation Riemannian manifolds |
| ISBN |
1-281-93808-4
9786611938086 981-277-953-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
| Record Nr. | UNINA-9910782558103321 |
|
Lin Fanghua
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Riemannian manifolds
(137)
- Curvature (15)
- Geometry, Differential (12)
- Geometry, Riemannian (9)
- Harmonic maps (9)