On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type

CONTENTS Page Introduction 11 Part I. Travelling waves 1. Existence, uniqueness and properties of the travelling wave 17 2. KPP transform of the travelling wave 24 3. Second existence theorem for the travelling wave 27 Part II. Asymptotic behavior of the time dependent solution 4. Stability and instability criteria for ιυ\(x) 28 5. A problem with higher space dimension 38 6. Second stability theorem 40 Part III. Method of KPP transform 7. Fundamental theorem of KPP 41 8. Stability of the slowest travelling wave 51 9. Stability of the travelling wave with arbitrary speed 57 10. An example 65 References 66