Linear Holomorphic Partial Differential Equations and Classical Potential Theory (Mathematical Surveys and Monographs, 232, Band 232) - Hardcover

Inhaltsangabe

Khavinson and Lundberg introduce linear holomorphic partial differential equations and classical potential theory to graduate students and young analysts who may have had no previous exposure to them, but are familiar with multivariate calculus and some basics in complex analysis and differential equations. Their topics include the Cauchy-Kovalevskaya theorem with estimates, applications of the Bony-Schapira theorem: Vekua Hulls and Szego's theorem revisited, potential theory on ellipsoids, singularities encountered by the analytic continuation of solutions to the Dirichlet problem, and quadrature domains and Laplacian growth. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)

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