Functional Analytic Methods for Heat Green Operators

Name: Functional Analytic Methods for Heat Green Operators
Brand: Springer
Availability: OutOfStock
Rating: 5 (1 reviews)

By Kazuaki Taira

0 - Default Title

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 details

Binding:

Paperback

Edition:

1

Number of Pages:

664

Release Date:

2024-09-19

Publication Date:

2024-09-19

Publisher:

Springer

Languages:

Original: English

ISBN10:

3031666119

ISBN13:

9783031666117

GPSR Manufacturer Reference:

[email protected]

Weight:

990 g

Height:

155 cm

Width:

235 cm

Thickness:

36 cm

Buy on Amazon

Currently sold out