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

Cioranescu, Diona; Donato, Patrizia; Roque, Marian P.

 
9789813229174: An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions
Rilegato
ISBN 10: 9813229179 ISBN 13: 9789813229174
Casa editrice: World Scientific Pub Co Inc, 2018

Sinossi

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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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
9813229179
ISBN 13 
9789813229174
Rilegatura
Copertina rigida
Numero di pagine
279
Contatto del produttore
non disponibile
Persona responsabile
non disponibile