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Record Nr. |
UNISALENTO991000331679707536 |
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Autore |
Astala, Kari |
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Titolo |
Elliptic partial differential equations and quasiconformal mappings in the plane / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
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Pubbl/distr/stampa |
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Princeton ; Oxford : Princeton University Press, c2009 |
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ISBN |
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Descrizione fisica |
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xvi, 677 p. : ill. ; 24 cm |
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Collana |
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Princeton mathematical series, 0079-5194 ; 48 |
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Classificazione |
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Altri autori (Persone) |
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Iwaniec, Tadeusz |
Martin, Gaven |
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Disciplina |
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Soggetti |
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Differential equations, Elliptic |
Quasiconformal mappings |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references (p. 647-670) and index |
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Nota di contenuto |
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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 |
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