Functional Analytic Methods for Heat Green Operators: Heat Kernel Asymptotics via the Weyl-Hörmander Calculus: 2354 (Lecture Notes in Mathematics, 2354) - Image 1

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Springer Functional Analytic Methods for Heat Green Operators: Heat Kernel Asymptotics via the Weyl-Hörmander Calculus: 2354 (Lecture Notes in Mathematics, 2354)

Name: Functional Analytic Methods for Heat Green Operators: Heat Kernel Asymptotics via the Weyl-Hormander Calculus: 2354 (Lecture Notes in Mathematics, 2354)
Brand: Springer
Price: 59.3 GBP
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Differential Equations

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Description

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.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3031666119
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 19 September 2024
Listed Since: 18 June 2024

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Springer Functional Analytic Methods for Heat Green Operators: Heat Kernel Asymptotics via the Weyl-Hörmander Calculus: 2354 (Lecture Notes in Mathematics, 2354)

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