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Sample path large deviations for the laws of the solutions of stochastic nonlinear Schrödinger equations when the noise converges to zero are presented. The noise is a complex additive gaussian noise. It is white in time and colored in space. The solutions may be global or blow-up in finite time, the two cases are distinguished. The results are stated in trajectory spaces endowed with topologies analogue to projective limit topologies. In this setting, the support of the law of the solution is also...
Sample path large deviations
for the laws of the solutions of stochastic nonlinear
Schrödinger equations when the noise converges to zero are
presented. The noise is a complex additive Gaussian noise. It is
white in time and colored in space. The solutions may be global or
blow-up in finite time, the two cases are distinguished. The
results are stated in trajectory spaces endowed with topologies
analogue to projective limit topologies. In this setting, the
support of the law of the solution is...
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