Chapter I: Preliminary facts of the theory of second order quasilinear parabolic equations

Chapters in this book

1. Frontmatter I
2. Preface to the English edition V
3. Contents VII
4. Introduction XI
5. Chapter I: Preliminary facts of the theory of second order quasilinear parabolic equations 1
6. Chapter II: Some quasilinear parabolic equations. Self-similar solutions and their asymptotic stability 38
7. Chapter III: Heat localization (inertia) 130
8. Chapter IV: Nonlinear equation with a source. Blow-up regimes. Localization. Asymptotic behaviour of solutions. 176
9. Chapter V: Methods of generalized comparison of solutions of different nonlinear parabolic equations and their applications 316
10. Chapter VI: Approximate self-similar solutions of nonlinear heat equations and their applications in the study of the localization effect 373
11. Chapter VII: Some other methods of study of unbounded solutions 414
12. Bibliography 506
13. Index 535