The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.
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3 Pith papers cite this work. Polarity classification is still indexing.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Exponential mixing to a unique invariant measure is established for locally damped NLS with bounded degenerate noise on two modes using a new criterion based on asymptotic compactness of the linearized system.
Proves the strong Feller property for the Markov process of the 1D stochastic heat equation using Malliavin calculus combined with the moment method.
citing papers explorer
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Exponential mixing for the stochastic Allen--Cahn equation with localized white noise
The 1D stochastic Allen-Cahn equation with localized white noise admits a unique invariant measure and its Markov process is exponentially mixing.
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Exponential mixing for nonlinear Schr\"odinger equations perturbed by bounded degenerate noise
Exponential mixing to a unique invariant measure is established for locally damped NLS with bounded degenerate noise on two modes using a new criterion based on asymptotic compactness of the linearized system.
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A note on the strong Feller property via the moment method
Proves the strong Feller property for the Markov process of the 1D stochastic heat equation using Malliavin calculus combined with the moment method.