Franklin

Linear holomorphic partial differential equations and classical potential theory / Dmitry Khavinson, Erik Lundberg.

Author/Creator:
Khavinson, Dmitry, 1956- author.
Publication:
Providence, Rhode Island : American Mathematical Society, [2018]
Series:
Mathematical Surveys and Monographs, 2331-7159 ; v. 232
Format/Description:
Book
1 online resource (x, 214 pages : illustrations (chiefly color))
Subjects:
Potential theory (Mathematics).
Differential equations, Linear.
Differential equations, Partial.
Holomorphic functions.
System Details:
Mode of access : World Wide Web
Contents:
Introduction: Some motivating questions The Cauchy-Kovalevskaya theorem with estimates Remarks on the Cauchy-Kovalevskaya theorem Zerner's theorem The method of globalizing families Holmgren's uniqueness theorem The continuity method of F. John The Bony-Schapira theorem Applications of the Bony-Schapira theorem: Part I - Vekua hulls Applications of the Bony-Schapira theorem: Part II - Szegő's theorem revisited The reflection principle The reflection principle (continued) Cauchy problems and the Schwarz potential conjecture The Schwarz potential conjecture for spheres Potential theory on ellipsoids: Part I - The mean value property Potential theory on ellipsoids: Part II - There is no gravity in the cavity Potential theory on ellipsoids: Part III - The Dirichlet problem Singularities encountered by the analytic continuation of solutions to the Dirichlet problem An introduction to J. Leray's principle on propagation of singularities through $\mathbb {C}^n$ Global propagation of singularities in $\mathbb {C}^n$ Quadrature domains and Laplacian growth Other varieties of quadrature domains
Notes:
Includes bibliographical references (pages 203-210) and index.
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2018
Description based on print version record.
Contributor:
Lundberg, Erik, 1983- author.
Other format:
Print version: Khavinson, Dmitry, 1956- Linear holomorphic partial differential equations and classical potential theory /
ISBN:
9781470447663 (online)
Access Restriction:
Restricted for use by site license.
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