1D quintic nonlinear Schr\"odinger equation with white noise dispersion
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🧮 math.AP
math.PR
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dispersionequationnoisewhiteodingerquinticschradded
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In this article, we improve the Strichartz estimates obtained in [12] for the Schr\"odinger equation with white noise dispersion in one dimension. This allows us to prove global well posedness when a quintic critical nonlinearity is added to the equation. We finally show that the white noise dispersion is the limit of smooth random dispersion.
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