Bøger af Yoshikazu Giga

Presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. This book aims to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense.

This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.