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De Gruyter studies in mathematics ;.
Measure theory and nonlinear evolution equations. — 86. / Flavia Smarrazzo and Alberto Tesei. — 1 online resource (420 pages) : illustrations (black and white). — (De Gruyter studies in mathematics). — <URL:http://elib.fa.ru/ebsco/3269146.pdf>.

Record create date: 6/16/2022

Subject: Evolution equations, Nonlinear.; Measure theory.; Équations d'évolution non linéaires.; Théorie de la mesure.; Evolution equations, Nonlinear.; Measure theory.

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Table of Contents

  • 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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