Measure Theory and Nonlinear Evolution Equations /

Measure Theory and Nonlinear Evolution Equations / / Alberto Tesei, Flavia Smarrazzo.

This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
VerfasserIn:
Smarrazzo, Flavia,
Tesei, Alberto,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2022]
©2022
Year of Publication:2022
Language:English
Series:De Gruyter Studies in Mathematics , 86
Online Access:
Physical Description:1 online resource (XXXIV, 422 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Introduction
  • Part I: General theory
  • Outline of Part I
  • 1 Measure theory
  • 2 Scalar integration and differentiation
  • 3 Function spaces and capacity
  • 4 Vector integration
  • 5 Sequences of finite Radon measures
  • Part II: Applications
  • Outline of Part II
  • 6 Case study 1: quasilinear parabolic equations
  • 7 Case study 2: hyperbolic conservation laws
  • 8 Case study 3: forward–backward parabolic equations
  • Bibliography
  • Appendix A Topological spaces
  • List of Symbols
  • Index

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