GLOBAL WELL-POSEDNESS FOR THE DERIVATIVE NONLINEAR SCHR ÖDINGER EQUATION WITH PERIODIC BOUNDARY CONDITION
Abstract
We prove global well-posedness for the derivative nonlinear Schr\"odinger equation on the torus in the Sobolev space $H^1(\TT)$
provided that the mass of initial data is strictly less than $8\pi$.
Keywords
Derivative nonlinear Schrödinger equation
global well-posedness
integrable systems
profile decompositions. AMS Subject Classification (2000): 35B15
37K15
Derivative nonlinear Schrödinger equation global well-posedness integrable systems profile decompositions. AMS Subject Classification (2000): 35B15 37K15
Domains
Mathematics [math]| Origin | Files produced by the author(s) |
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