The Mass-Critical for the Nonlinear Schrödinger Equation in d = 2

Mujahid Abd Elmjed M-Ali

Department of Mathematics, Faculty of Education, Kassala University, Kassala, Sudan.

DOI: 10.4236/apm.2013.35070                

Abstract

This paper studies the global behavior defocusing nonlinear Schrodinger equation in dimension d = 2, and we will discuss the case . This means that the solutions , and called critical solution. We show that u scatters forward and backward to a free solution and the solution is globally well posed.

Keywords

NLS; Well Posed

Conflicts of Interest

The authors declare no conflicts of interest.

References

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