- 15-69 Vitali Vougalter
- Nonlinear dissipation for some systems of critical NLS equations in two dimensions
Jul 20, 15
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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.