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Linear holomorphic partial differential equations and classical potential theory

Linear holomorphic partial differential equations and classical potential theory
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Catalogue Information
Nome campo dettagli
Dewey Class 515.9 (DDC 23)
Titolo Linear holomorphic partial differential equations and classical potential theory (M) / Dmitry Khavinson, Erik Lundberg
Autore Khavinson, Dmitry , 1956-
Added Personal Name Lundberg, Erik , 1983-
Pubblicazione Providence, Rhode Island : American Mathematical Society , 2018
Physical Details viii, 214 pages : ill. ; 24 cm
Serie Mathematical surveys and monographs ; 232
ISBN 9781470437800
Nota 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 -- The continuity method of F. John -- The Bony-Schapira theorem -- Applications of the Bony-Schapira theorem -- 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 Cn -- Global propagation of singularities in Cn -- Quadrature domains and Laplacian growth -- Other varieties of quadrature domains.
Link alle Opere Legate
  • Riferimenti soggetto: .
  • Differential equations, Linear .
  • Differential equations, Partial .
  • Holomorphic functions .
  • Potential theory (Mathematics) .

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