Existence of martingale solutions in H0^1 ∩ Lp and strong solutions with uniqueness in law for the stochastic heat equation with polynomial nonlinearity, multiplicative Stratonovich noise, and L2-norm constraint.
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The slow component converges strongly to an effective stochastic fractional Schrödinger equation obtained by averaging the coupling term over the unique invariant measure of the frozen fast dynamics.
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Existence and uniqueness results of a stochastic nonlinear heat equation with a constraint of codimension one
Existence of martingale solutions in H0^1 ∩ Lp and strong solutions with uniqueness in law for the stochastic heat equation with polynomial nonlinearity, multiplicative Stratonovich noise, and L2-norm constraint.
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Averaging principle for a slow-fast stochastic nonlinear fractional Schr\"odinger equation
The slow component converges strongly to an effective stochastic fractional Schrödinger equation obtained by averaging the coupling term over the unique invariant measure of the frozen fast dynamics.