Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions
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A01=Doina Cioranescu
A01=Marian P Roque
A01=Patrizia Donato
Author_Doina Cioranescu
Author_Marian P Roque
Author_Patrizia Donato
Category=PBKJ
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Partial Differential Equations
Sobolev Spaces
Strong and Weak Solutions
Variational Methods
Product details
- ISBN 9789813229174
- Publication Date: 17 Jan 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
