Special Session 175: Modern Trends in Partial Differential Equations and General Relativity

Strong instability of standing waves for a system of nonlinear Klein-Gordon equations with quadratic interaction
Masahito Ohta
Tokyo University of Science
Japan
Co-Author(s):    
Abstract:
We consider a system of nonlinear Klein-Gordon equations with quadratic interaction in two and three space dimensions. The strong instability of standing wave solutions is studied for the system without assuming the mass resonance condition.