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Sharp weights in the Cauchy problem for ...
Carles, Rémi...
Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential by Carles, Rémi ( Author )
N.A
19-09-2014
We review different properties related to the Cauchy problem for the (nonlinear) Schrodinger equation with a smooth potential. For energy-subcritical nonlinearities and at most quadratic potentials, we investigate the necessary decay in space in order for the Cauchy problem to be locally (and globally) well-posed. The characterization of the minimal decay is different in the case of super-quadratic potentials.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1409.5759
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