Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions

hardback
Published: 17 January, 2018
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Description

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.
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More Details

Type Book
ISBN13 9789813229174
ISBN10 9813229179
Number Of Pages 298
Item Weight 1000 g
Publisher / Reseller World Scientific Publishing Co Pte Ltd
Format hardback
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