ec 2 00 4 UNIFORM LARGE DEVIATIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH MULTIPLICATIVE NOISE
نویسنده
چکیده
Uniform large deviations for the laws of the paths of the solutions of the stochastic nonlinear Schrödinger equation when the noise converges to zero are presented. The noise is a real multiplicative Gaussian noise. It is white in time and colored in space. The path space considered allows blow-up and is endowed with a topology analogue to a projective limit topology. Thus a large variety of large deviation principle may be deduced by contraction. As a consequence, asymptotics of the tails of the law of the blow-up time when the noise converges to zero are obtained. 2000 Mathematics Subject Classification. 60F10, 60H15, 35Q55.
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