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vls/2603nrwcece.visuallibrary.netvdFunctional analytic methods for heat Green operatorsheat Kernel asymptotics via the Weyl-Hörmander calculusTaira, Kazuaki1946-VerfasserauttextTextbookszXA-CHCham, SwitzerlandSpringer[2024]© 20242024monographicengprintxviii, 641 Seiten Illustrationenohne Hilfsmittel zu benutzenBandThis monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis. Following the recent trend towards constructive methods in the theory of partial differential equations, it makes extensive use of the ideas and techniques from the Weyl–Hörmander calculus of pseudo-differential operators to study heat Green operators through concrete calculations for the Dirichlet, Neumann, regular Robin and hypoelliptic Robin boundary conditions. Further, it provides detailed coverage of important examples and applications in elliptic and parabolic problems, illustrated with many figures and tables. A unified mathematical treatment for solving initial boundary value problems for the heat equation under general Robin boundary conditions is desirable, and leads to an extensive study of various aspects of elliptic and parabolic partial differential equations. The principal ideas are explicitly presented so that a broad spectrum of readers can easily understand the problem and the main results. The book will be of interest to readers looking for a functional analytic introduction to the meeting point of partial differential equations, differential geometry and probability.Kazuaki TairaWärmeleitungsgleichungRobin-RandwertproblemFunktionalanalysisPartielle DifferentialgleichungDifferentialgeometrie97830316661179783031666131145887190799374868346806441HT030860372Online-Ausgabe9783031666124Lecture notes in mathematics2354(DE-605)HT001253222rda24100920250414113434.02561628ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2561628 https://ce.visuallibrary.net/id/1333821 https://ce.visuallibrary.net/i3f/v20/1333821/manifest https://ce.visuallibrary.net/proto_ftsearch/1333821