We consider a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. Our aim is to show time decay estimates of small solutions and nonexistence of the usual scattering states for a system. Furthermore we prove stability in time of small solutions in the neighborhood of solutions to a suitable approximate equation.
|Number of pages||18|
|Journal||Differential and Integral Equations|
|Publication status||Published - 2011 May|
ASJC Scopus subject areas
- Applied Mathematics