Title: Introduction to Second Order Partial Differential Equations : Classical and Variational Solutions
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 2018
Language: English
ISBN 10: 9813229179
ISBN 13: 9789813229174
Binding: Hardcover
Condition: New

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Synopsis

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise. Classical solutions of the Laplace, heat, and wave equations are provided. Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed.

Readership: Graduate and post-graduate students as well as researchers who are interested in PDEs in both classical and variational approaches.

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