
Introduction To Second Order Partial Differential Equations, An: Classical And Variational Solutions
World Scientific Publishing Co Pte Ltd
Published on 17. January 2018
Book
Hardback
300 pages
978-981-322-917-4 (ISBN)
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 21 mm
Weight
585 gr
ISBN-13
978-981-322-917-4 (9789813229174)
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Schweitzer Classification
Persons
Author
Univ Pierre Et Marie Curie (Paris 6), France
Univ De Rouen, France
Univ Of The Philippines Diliman, Philippines