5. First-order quasilinear equations: vector fields

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Contents IX
4. 1. Definition 1
5. 2. Change of variables in PDEs 29
6. 3. First-order linear equations 49
7. 4. First-order semilinear equations 63
8. 5. First-order quasilinear equations: vector fields 85
9. 6. First-order quasilinear equations: solution sets 117
10. 7. Method of characteristics for first-order quasilinear equations 157
11. 8. Second-order semilinear equations 205
12. A. Appendix 249
13. Bibliography 263
14. Index 265