1 Measure theory

Chapters in this book

1. Frontmatter I
2. Contents V
3. Preface XI
4. Introduction XIII
5. Part I: General theory
6. Outline of Part I 1
7. 1 Measure theory 5
8. 2 Scalar integration and differentiation 53
9. 3 Function spaces and capacity 109
10. 4 Vector integration 153
11. 5 Sequences of finite Radon measures 219
12. Part II: Applications
13. Outline of Part II 275
14. 6 Case study 1: quasilinear parabolic equations 279
15. 7 Case study 2: hyperbolic conservation laws 321
16. 8 Case study 3: forward–backward parabolic equations 371
17. Bibliography 403
18. Appendix A Topological spaces 409
19. List of Symbols 415
20. Index 417