9789813229174-9813229179-Introduction To Classical And Variational Partial Differential Equations

Introduction To Classical And Variational Partial Differential Equations

ISBN-13: 9789813229174
ISBN-10: 9813229179
Author: Doina Cioranescu, Patrizia Donato, Marian P Roque
Publication date: 2018
Publisher: World Scientific Publishing Co Pte Ltd
Format: Hardcover 300 pages
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Book details

ISBN-13: 9789813229174
ISBN-10: 9813229179
Author: Doina Cioranescu, Patrizia Donato, Marian P Roque
Publication date: 2018
Publisher: World Scientific Publishing Co Pte Ltd
Format: Hardcover 300 pages

Summary

Acknowledged authors Doina Cioranescu, Patrizia Donato, Marian P Roque wrote Introduction To Classical And Variational Partial Differential Equations comprising 300 pages back in 2018. Textbook and eTextbook are published under ISBN 9813229179 and 9789813229174. Since then Introduction To Classical And Variational Partial Differential Equations textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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.

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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