Measure theory and nonlinear evolution equations
"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. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided."--Page 4 of cover.
Read More ↓Title Statements
- Full title :Measure theory and nonlinear evolution equations / Flavia Smarrazzo and Alberto Tesei.
Summary
"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. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided."--Page 4 of cover.
Read More ↓Edition Statements
- Publication Date:©2022
Publication Statements
- Publisher(s):De Gruyter
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2022
The Physical Object
- Description:xxxiii, 420 pages : : illustrations ; : 25 cm.
Edition Identifiers
- ISBN:9783110556001, 3110556006
- oclc:on1289733950
- LC Classification:QC20.7.M43
- Dewey Decimal:515.353
Table of Contents
Preface -- Introduction -- Part I. General Theory -- 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 -- 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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