Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
Large Deviations for Invariant Measures of Stochas- tic Reaction–Diffusion Systems with Multiplicative Noise and Non-Lipschitz Reaction Term
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Stationary solutions of SPDEs with locally monotone coefficients satisfy the Freidlin-Wentzell LDP, from which the LDP for invariant measures follows by contraction, covering reaction-diffusion, Burgers, Navier-Stokes, and MHD equations.
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An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
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Large deviation principles for the stationary solutions and invariant measures of a class of SPDE with locally monotone coefficients
Stationary solutions of SPDEs with locally monotone coefficients satisfy the Freidlin-Wentzell LDP, from which the LDP for invariant measures follows by contraction, covering reaction-diffusion, Burgers, Navier-Stokes, and MHD equations.