arXiv:math/0503366 Abstract

arXiv:math/0503366 [math.AP]Abstract References Reviews Resources

Nonuniqueness of weak solutions of the nonlinear Schroedinger equation

Published 2005-03-17Version 1

Generalized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schr\"odinger equation, with certain nonlinearities, are not unique. For any $s<0$ there exist nonzero generalized solutions varying continuously in the Sobolev space $H^s$, with identically vanishing initial data.

Comments: 13 pages

Categories: math.AP

Subjects: 35Q55

Keywords: nonlinear schroedinger equation, weak solutions, generalized solutions varying, nonuniqueness, one-dimensional periodic nonlinear

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