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portada An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions
Type
Physical Book
Publisher
Author
Year
2017
Language
English
Pages
298
Format
Hardcover
ISBN13
9789813229174
Categories

An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions

Doina Cioranescu; Patrizia Donato; Marian P Roque (Author) · Wspc · Hardcover

An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions - Doina Cioranescu; Patrizia Donato; Marian P Roque

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Synopsis "An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions "

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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