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Distribution Theory Applied to Differential Equations

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 ordi...

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Bibliographic Details
Main Authors:	Chirilă, Adina, Marin, Marin (Author), Öchsner, Andreas (Author)
Format:	eBook
Language:	English
Published:	Cham Springer International Publishing 2021, 2021
Edition:	1st ed. 2021
Subjects:	Convex And Discrete Geometry Classical And Continuum Physics Mathematical Analysis Convex Geometry Analysis Mechanical Engineering Continuum Physics Analysis (mathematics) Discrete Geometry Probability Theory And Stochastic Processes Probabilities
Online Access:	https://doi.org/10.1007/978-3-030-67159-4?nosfx=y
Collection:	Springer eBooks 2005- - Collection details see MPG.ReNa

Table of Contents:

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

Distribution Theory Applied to Differential Equations

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