Special Session 53: Mathematical Theory on the Klein-Gordon Equation and Related Models

Long time behaviors for damped Klein-Gordon and wave equations

Lifeng Zhao
University of Science and Technology of China
Peoples Rep of China
Co-Author(s):    
Abstract:
Soliton resolution conjecture is a long standing problem for nonlinear dispersive equations. The soliton resolution results for damped Klein-Gordon and damped energy critical wave equation will be stated. In addition, some specific examples of multi-bubble solutions with precise dynamics are constructed.