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Elliptic partial differential equati...

Astala, Kari, (1953-)

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Elliptic partial differential equations and quasiconformal mappings in the plane /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Elliptic partial differential equations and quasiconformal mappings in the plane // Kari Astala, Tadeusz Iwaniec, and Gaven Martin.
作者:	Astala, Kari,
其他作者:	Iwaniec, Tadeusz.
出版者:	Princeton :Princeton University Press, : c2009.,
面頁冊數:	xvi, 677 p. :ill. ;24 cm.
內容註:	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: Calderon'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.
標題:	Differential equations, Elliptic. -
電子資源:	http://www.loc.gov/catdir/toc/ecip0826/2008037099.html
電子資源:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017322347&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
ISBN:	9780691137773 (hardcover : acid-free paper) :

Elliptic partial differential equations and quasiconformal mappings in the plane /
Astala, Kari,1953-

Elliptic partial differential equations and quasiconformal mappings in the plane /Kari Astala, Tadeusz Iwaniec, and Gaven Martin. - Princeton :Princeton University Press,c2009. - xvi, 677 p. :ill. ;24 cm. - Princeton mathematical series ;48. - Princeton mathematical series ;48..

Includes bibliographical references (p. 647-670) and index.

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: Calderon'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.

ISBN: 9780691137773 (hardcover : acid-free paper) :US85.00

LCCN: 2008037099

Nat. Bib. No.: GBA8D3907bnb

Nat. Bib. Agency Control No.: 014836694UkSubjects--Topical Terms:

541859
Differential equations, Elliptic.

LC Class. No.: QA377 / .A836 2009

Dewey Class. No.: 515.353

Elliptic partial differential equations and quasiconformal mappings in the plane /
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020 $a 9780691137773 (hardcover : acid-free paper) : $c US85.00
020 $a 0691137773 (hardcover : acid-free paper)
035 $a (OCoLC)ocn244476578
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100 1 $a Astala, Kari, $d 1953- $3 1299126
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 : $b Princeton University Press, $c c2009.
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: Calderon'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.
650 # 0 $a Differential equations, Elliptic. $3 541859
650 # 0 $a Quasiconformal mappings. $3 706149
700 1 # $a Iwaniec, Tadeusz. $3 952121
700 1 # $a Martin, Gaven. $3 952120
830 0 $a Princeton mathematical series ; $v 48. $3 1299127
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/toc/ecip0826/2008037099.html
856 4 1 $3 Table of contents $u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017322347&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA