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Introduction to Second Order Partial Differential Equations

by Cioranescu Doina

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Book Overview  The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students i...

 

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.

Book Details Format: Hardcover | Pages: 279 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9813229179
FormatHardcover
Pages279
LanguageEnglish
ISBN9813229179
EAN9789813229174
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.25 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.69 Inches
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