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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 | ||
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The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / / Joseph John Kohn, Gerald B. Folland
| The Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 / / Joseph John Kohn, Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (157 pages) |
| Disciplina | 515/.353 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Neumann problem
Differential operators Complex manifolds |
| Soggetto non controllato |
A priori estimate
Almost complex manifold Analytic function Apply Approximation Bernhard Riemann Boundary value problem Calculation Cauchy–Riemann equations Cohomology Compact space Complex analysis Complex manifold Coordinate system Corollary Derivative Differentiable manifold Differential equation Differential form Differential operator Dimension (vector space) Dirichlet boundary condition Eigenvalues and eigenvectors Elliptic operator Equation Estimation Euclidean space Existence theorem Exterior (topology) Finite difference Fourier analysis Fourier transform Frobenius theorem (differential topology) Functional analysis Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Irreducible representation Line segment Linear programming Local coordinates Lp space Manifold Monograph Multi-index notation Nonlinear system Operator (physics) Overdetermined system Partial differential equation Partition of unity Potential theory Power series Pseudo-differential operator Pseudoconvexity Pseudogroup Pullback Regularity theorem Remainder Scientific notation Several complex variables Sheaf (mathematics) Smoothness Sobolev space Special case Statistical significance Sturm–Liouville theory Submanifold Tangent bundle Theorem Uniform norm Vector field Weight function |
| ISBN | 1-4008-8152-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- FOREWORD -- TABLE OF CONTENTS -- CHAPTER I. FORMULATION OF THE PROBLEM -- CHAPTER II. THE MAIN THEOREM -- CHAPTER III. INTERPRETATION OF THE MAIN THEOREM -- CHAPTER IV. APPLICATIONS -- CHAPTER V. THE BOUNDARY COMPLEX -- CHAPTER VI. OTHER METHODS AND RESULTS -- APPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS -- REFERENCES -- TERMINOLOGICAL INDEX -- TERMINOLOGICAL INDEX |
| Record Nr. | UNINA-9910154743903321 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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