Non-decay of the energy for a system of semilinear wave equations
arXiv:2011.06743 · doi:10.1215/21562261-10428437
Abstract
We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.
arXiv comment10 pages
References in corpus (4)
- Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
- Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension
- On Agemi-type structural conditions for a system of semilinear wave equations
- Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension, II