An introduction to second order partial differential equations [electronic resource] : classical and variational solutions / Diona Cioranescu, Patrizia Donato, Marian P. Roque.
By: Cioranescu, D. (Doina)
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Contributor(s): Donato, Patrizia | Roque, Marian P.
Material type: 
Computer filePublisher: Singapore : World Scientific Publishing Co. Pte Ltd., ©2018Description: 1 online resource (300 p.) : ill.ISBN: 9789813229181.Other title: Second order partial differential equations | Partial differential equations.Subject(s): Differential equations, Partial -- Study and teaching (Higher) | Differential equations, Partial -- Study and teaching (Graduate) | Electronic booksDDC classification: 515/.353 Online resources: Access to full text is restricted to subscribers. Summary: "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."-- Publisher's website.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Title from web page (viewed January 18, 2019).
Includes bibliographical references and index.
"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."-- Publisher's website.
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