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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: 384.57 PLN
Availability: InStock

Heat Kernel Asymptotics via the Weyl-Hörmander Calculus

Autor: Kazuaki Taira

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

Wysyłamy za 5-8 dni

384.57 zł

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

Informacje o książce

Autor

Kazuaki Taira

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2024

strony

564

EAN

9783031666117

Enbook ID

46145525

Wydawca

Springer, Berlin

Waga

990

Wymiary

155 x 235

Pełny opis

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.