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Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
| ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910778138403321 |
Astala Kari <1953->
|
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| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910786510603321 |
|
McMullen Curtis T.
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910816804803321 |
|
McMullen Curtis T.
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||