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Functional Analytic Methods for Heat Green Operators

Name: Functional Analytic Methods for Heat Green Operators
Brand: Springer, Berlin
SKU: 9783031666117
Price: 495.36 RON
Availability: InStock

Heat Kernel Asymptotics via the Weyl-Hörmander Calculus

Autor: Kazuaki Taira

Limbă:

Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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This monograph guides the reader to the mathematical crossroads of heat equations and differential g...

Informații despre carte

Autor

Kazuaki Taira

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2024

Pagini

564

EAN

9783031666117

Enbook ID

46145525

Editura

Springer, Berlin

Greutate

990

Dimensiuni

155 x 235

Descriere completă

This 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.