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010 a| 2008037099;

015 a| GBA8D39072| bnb;

016 7 a| 0148366942| Uk;

020 a| 9780691137773 (hardcover : acid-free paper);

035 a| (WaSeSS)ssj0000145540;

049 a| EREEa| NEHH;

050 00 a| QA377b| .A836 2009;

082 00 a| 515.3532| 22;

082 00 a| 515/.93 222| 22;

084 a| SK 5602| rvk;

100 1 a| Astala, Kari,d| 1953-=| ^A796757;

245 10 a| Elliptic partial differential equations and quasiconformal mappings in the planeh| [electronic resource] /c| Kari Astala, Tadeusz Iwaniec, and Gaven Martin.;

260 a| Princeton :b| Princeton University Press,;

300 a| xvi, 677 p. :b| ill. ;c| 24 cm.;

490 1 a| Princeton mathematical series ;v| 48;

504 a| Includes bibliographical references (p. 647-670) and index.;

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.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Differential equations, Elliptic.=| ^A48116;

650 0 a| Quasiconformal mappings.=| ^A114729;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Iwaniec, Tadeusz.=| ^A716821;

700 1 a| Martin, Gaven.=| ^A765507;

830 0 a| Princeton mathematical series ;v| 48.=| ^A25602;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=457704;

947 a| (OCoLC)ocn244476578;

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

Author/creator	Astala, Kari, 1953-
Other author	Iwaniec, Tadeusz.
Other author	Martin, Gaven.
Format	Electronic
Publication Info	Princeton : Princeton University Press,
Description	xvi, 677 p. : ill. ; 24 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Differential equations, Elliptic. Quasiconformal mappings.

Series	Princeton mathematical series ; 48 Princeton mathematical series ; 48. ^A25602
Contents	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.
Bibliography note	Includes bibliographical references (p. 647-670) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2008037099
ISBN	9780691137773 (hardcover : acid-free paper)

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

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