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Elliptic partial differential equations and quasiconformal mappings in the plane /
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compellin...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, NJ :
Princeton University Press,
©2009.
|
| Colección: | Princeton mathematical series ;
48. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Astala, Kari, |d 1953- |1 https://id.oclc.org/worldcat/entity/E39PBJjCJyypbPKrMFC3HBT8md | |
| 245 | 1 | 0 | |a Elliptic partial differential equations and quasiconformal mappings in the plane / |c Kari Astala, Tadeusz Iwaniec, and Gaven Martin. |
| 260 | |a Princeton, NJ : |b Princeton University Press, |c ©2009. | ||
| 300 | |a 1 online resource (xvi, 677 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton mathematical series ; |v 48 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. Th. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 505 | 0 | |a Background in conformal geometry -- Foundations of quasiconformal mappings -- Complex potentials -- Measurable Riemann mapping theorem: the existence theory of quasiconformal mappings -- Parameterizing general linear elliptic systems -- Concept of ellipticity -- Solving general nonlinear first-order elliptic systems -- Nonlinear Riemann mapping theorems -- Conformal deformations and beltrami systems -- Quasilinear cauchy problem -- Holomorphic motions -- Higher Integrability -- L[superscript P]-theory of beltrami operators -- Schauder estimates for beltrami operators -- Applications to partial differential equations -- PDEs not of divergence type: pucci's conjecture -- Quasiconformal methods in impedance tomography: Calderón's problem -- Integral estimates for the Jacobian -- Solving the Beltrami equation: degenerate elliptic case -- Aspects of the calculus of variations -- Appendix. Elements of sobolev theory and function spaces -- A.1. Schwartz distributions -- A.2. Definitions of Sobolev spaces -- A.3. Mollification -- A.4. Pointwise coincidence of Sobolev functions -- A.5. Alternate characterizations -- A.6. Embedding theorems -- A.7. Duals and compact embeddings -- A.8. Hardy spaces and BMO -- A.9. Reverse holder inequalities -- A.10. Variations of Sobolev mappings. | |
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| 650 | 0 | |a Differential equations, Elliptic. | |
| 650 | 0 | |a Quasiconformal mappings. | |
| 650 | 6 | |a Équations différentielles elliptiques. | |
| 650 | 6 | |a Applications quasi conformes. | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Elliptic |2 fast | |
| 650 | 7 | |a Quasiconformal mappings |2 fast | |
| 700 | 1 | |a Iwaniec, Tadeusz. | |
| 700 | 1 | |a Martin, Gaven. | |
| 776 | 0 | 8 | |i Print version: |a Astala, Kari, 1953- |t Elliptic partial differential equations and quasiconformal mappings in the plane. |d Princeton, NJ : Princeton University Press, ©2009 |w (DLC) 2008037099 |
| 830 | 0 | |a Princeton mathematical series ; |v 48. | |
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