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Discontinuity, Nonlinearity, and Complexity 5(2) (2016) 167--172 | DOI:10.5890/DNC.2016.06.006

Vitali Vougalter

University of Toronto, Department of Mathematics, Toronto, Ontario, M5S 2E4, Canada

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Abstract

We prove the global well-posedness in H1(R2,CN) for certain systems of the critical Nonlinear Schrodinger equations coupled linearly or nonlinearly with nonlinear supercritical dissipation terms, generalizing the previous result of [1] obtained for a single equation of this kind.

Acknowledgments

Valuable discussions with W. Abou Salem, T.Chen, D.Pelinovsky, C.Sulem are gratefully acknowledged.

References

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