Invariant measures for the defocusing NLS
classification
🧮 math.AP
keywords
defocusingproveassociateddimensionsdiscequationsestimateexistence
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We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schroedinger equations on the disc of the plane $\R^2$. We also prove an estimate giving some intuition to what may happen in 3 dimensions.
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