15-69 Vitali Vougalter

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

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