Nonuniqueness of Weak Solutions of the Nonlinear Schrödinger Equation
نویسنده
چکیده
Generalized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schrödinger equation, with cubic or quadratic nonlinearities, are not unique. For any s < 0 there exist nonzero generalized solutions varying continuously in the Sobolev space H, with identically vanishing initial data.
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تاریخ انتشار 2005