Distribution theory applied to differential equations / Adina Chirilă, Marin Marin, Andreas Öchsner.
Chirilă, Adina, author.; Marin, Marin, 1954- author.; Öchsner, Andreas, author.
2021
QA273.6 .C45 2021
Available Online

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Title Distribution theory applied to differential equations / Adina Chirilă, Marin Marin, Andreas Öchsner.
Author Chirilă, Adina, author.
ISBN 9783030671594 (electronic bk.)
3030671593 (electronic bk.)
9783030671587
3030671585
DOI https://doi.org/10.1007/978-3-030-67159-4
Published Cham : Springer, [2021]
Language English
Description 1 online resource (viii, 276 pages)
Item Number 10.1007/978-3-030-67159-4 doi
Call Number QA273.6 .C45 2021
Dewey Decimal Classification 519.2/4
Summary This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 22, 2021).
Added Author Marin, Marin, 1954- author.
Öchsner, Andreas, author.
Available in Other Form Print version: 3030671585
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Introduction
Preliminaries
Convex and lower-semicontinuous functions
The subdifferential of a convex function
Evolution equations
Distributions
Tempered distributions
Differential equations in distributions
Sobolev spaces
Variational problems
On some spaces of distributions
On some differential operators.

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