Global Well-Posedness for Schrödinger Equations with Derivative
نویسندگان
چکیده
منابع مشابه
Global Well-Posedness for Schrödinger Equations with Derivative
We prove that the 1D Schrödinger equation with derivative in the nonlinear term is globally well-posed in H s , for s > 2/3 for small L 2 data. The result follows from an application of the " I-method ". This method allows to define a modification of the energy norm H 1 that is " almost conserved " and can be used to perform an iteration argument. We also remark that the same argument can be us...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2001
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s0036141001384387