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, ca...
Saved in:
Main Authors: | |
---|---|
Group Author: | |
Published: |
De Gruyter,
|
Publisher Address: | Berlin : |
Publication Dates: | [2022] |
Literature type: | Book |
Language: | English |
Series: |
De Gruyter studies in mathematics,
volume 86 |
Subjects: | |
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. |
Carrier Form: | xxxiii, 420 pages : illustrations ; 25 cm. |
Bibliography: | Includes bibliographical references (pages [403]-407) and indexes. |
ISBN: |
9783110556001 3110556006 |
Index Number: | QC20 |
CLC: |
O174.12 O175.26 |
Call Number: | O175.26/S636 |
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. |