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-9910814555403321 |
Lin Fanghua | ||
Hackensack, NJ, : World Scientific, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Asymptotic formulae in spectral geometry / Peter B. Gilkey |
Autore | Gilkey, Peter B. |
Pubbl/distr/stampa | Boca Raton : Chapman & Hall/CRC Press, c2004 |
Descrizione fisica | viii, 304 p. ; 25 cm |
Disciplina | 516.362 |
Collana | Studies in advanced mathematics |
Soggetto topico |
Spectral geometry
Riemannian manifolds Differential equations - Asymptotic theory |
ISBN | 1584883588 |
Classificazione |
AMS 58J37
LC QA614.95.G55 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000540819707536 |
Gilkey, Peter B. | ||
Boca Raton : Chapman & Hall/CRC Press, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya |
Autore | Shioya Takashi <1963-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
Descrizione fisica | 1 online resource (90 p.) |
Disciplina | 510 s |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Riemannian manifolds
Geodesics (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0094-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References"" |
Record Nr. | UNINA-9910480474503321 |
Shioya Takashi <1963-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya |
Autore | Shioya Takashi <1963-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
Descrizione fisica | 1 online resource (90 p.) |
Disciplina | 510 s |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Riemannian manifolds
Geodesics (Mathematics) |
ISBN | 1-4704-0094-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References"" |
Record Nr. | UNINA-9910788754003321 |
Shioya Takashi <1963-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya |
Autore | Shioya Takashi <1963-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
Descrizione fisica | 1 online resource (90 p.) |
Disciplina | 510 s |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Riemannian manifolds
Geodesics (Mathematics) |
ISBN | 1-4704-0094-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References"" |
Record Nr. | UNINA-9910811895103321 |
Shioya Takashi <1963-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov |
Autore | Shchepetilov Alexey V. |
Edizione | [1st ed. 2006.] |
Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [2006] |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 516.362 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Riemannian manifolds
Mathematical physics |
ISBN |
1-280-62742-5
9786610627424 3-540-35386-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres. |
Record Nr. | UNISA-996466722903316 |
Shchepetilov Alexey V. | ||
Berlin, Germany : , : Springer, , [2006] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov |
Autore | Shchepetilov Alexey V. |
Edizione | [1st ed. 2006.] |
Pubbl/distr/stampa | Berlin, Germany : , : Springer, , [2006] |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 516.362 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Riemannian manifolds
Mathematical physics |
ISBN |
1-280-62742-5
9786610627424 3-540-35386-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres. |
Record Nr. | UNINA-9910146627803321 |
Shchepetilov Alexey V. | ||
Berlin, Germany : , : Springer, , [2006] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Calculus and mechanics on two-point homogenous Riemannian spaces / Alexey V. Shchepetilov |
Autore | Shchepetilov, Alexey V. |
Pubbl/distr/stampa | Berlin : Springer, 2006 |
Descrizione fisica | xvii, 255 p. : ill. ; 24 cm |
Disciplina | 516.362 |
Collana | Lecture notes in physics, 0075-8450 ; 707 |
Soggetto topico |
Mathematical physics
Riemannian manifolds |
ISBN |
3540353844
9783540353843 |
Classificazione |
AMS 53C80
LC QC20.7.M24S43 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003452699707536 |
Shchepetilov, Alexey V. | ||
Berlin : Springer, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions / Leo Sario... [et al.] |
Autore | Sario, Leo |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1977 |
Descrizione fisica | xx, 498 p. ; 25 cm. |
Disciplina | 515.53 |
Collana | Lecture notes in mathematics, 0075-8434 ; 605 |
Soggetto topico |
Harmonic functions
Higher-dimensional theory Riemannian manifolds |
ISBN | 3540083588 |
Classificazione | AMS 31B99 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000746609707536 |
Sario, Leo | ||
Berlin : Springer-Verlag, 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Classification theory of riemannian manifolds : harmonic, quasiharmonic and biharmonic functions / / Leo Sario [and three others] |
Edizione | [1st ed. 1977.] |
Pubbl/distr/stampa | Berlin, Germany : , : Springer-Verlag, , [1977] |
Descrizione fisica | 1 online resource (XXII, 502 p.) |
Disciplina | 516.36 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Riemannian manifolds
Harmonic functions Mathematics |
ISBN | 3-540-37261-X |
Classificazione |
31Bxx
31C12 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface and historical note -- Laplace-Beltrami operator -- Harmonic functions -- Quasiharmonic functions -- Bounded biharmonic functions -- Dirichlet finite biharmonic functions -- Bounded dirichlet finite biharmonic functions -- Harmonic, quasiharmonic, and biharmonic degeneracies -- Riesz representation of biharmonic functions -- Biharmonic Green’s function ? -- Biharmonic Green’s function ?: Definition and existence -- Relation of O ? N to other null classes -- Hadamard’s conjecture on the Green’s function of a clamped plate. |
Record Nr. | UNISA-996466509403316 |
Berlin, Germany : , : Springer-Verlag, , [1977] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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