Vitali Vougalter
Nonlinear dissipation for some systems of critical NLS equations in two dimensions
(116K, pdf)

ABSTRACT.  We prove the global well-posedness in H^1(R^2, C^N) for certain systems 
of the critical Nonlinear Schroedinger equations coupled linearly or nonlinearly with nonlinear supercritical dissipation terms, generalizing 
the previous result obtained for a single equation of this kind.