Screen LibraryMeasure 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. |