Elliptic partial differential equations and quasiconformal mappings in the plane / Kari Astala, Tadeusz Iwaniec, and Gaven Martin

• Autore: Astala, Kari
• Pubblicazione: Princeton ; Oxford : Princeton University Press, c2009
• Descrizione fisica: xvi, 677 p. : ill. ; 24 cm
• Disciplina: 515.93
• Soggetto topico: Differential equations, Elliptic; Quasiconformal mappings
• Classificazione: AMS 35J60; LC QA377.A836
• Altri autori: Iwaniec, Tadeusz Martin, Gaven
• Nota di bibliografia: Includes bibliographical references (p. 647-670) and index
• Nota di contenuto: Introduction ; A background in conformal geometry ; The foundations of quasiconformal mappings ; Complex potentials ; The measurable Riemann mapping theorem : the existence theory of quasiconformal mappings ; Parameterizing general linear elliptic systems ; The concept of ellipticity ; Solving general nonlinear first-order elliptic systems ; Nonlinear Riemann mapping theorems ; Conformal deformations and Beltrami systems ; A quasilinear Cauchy problem ; Holomorphic motions ; Higher integrability ; L[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
• ISBN: 9780691137773; 0691137773
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991000331679707536
• Lo trovi qui: Univ. del Salento
• Serie: Princeton mathematical series, 0079-5194 ; 48