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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Nonlinear Dissipation for Some Systems of Critical NLS Equations in Two Dimensions

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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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.


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


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