Special Session 131: Recent progress on singularities formations of some evolution partial differential equations

General theory and its optimality for nonlinear wave equations in one apace dimension

Hiroyuki Takamura
Tohoku University
Japan
Co-Author(s):    T.Sasaki, K.Morisawa, R.Kido, S.Takamatsu
Abstract:
In this talk, the recent progress on nonlinear wave equations in one space dimension will be presented. More precisely, the so-called combined effect plays a key role in the analysis on model equations which improves the general theory for nonlinear wave equations, expected complete more than 30 years ago.