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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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AP 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Global existence of H¹ martingale solutions to the stochastic Camassa-Holm equation is shown via viscous Galerkin approximations, tightness, and Skorokhod-Jakubowski representations.
Proves almost sure continuous dependence of the solution map on initial data in H^s (s>3/2) and existence of non-unique invariant measures for the Camassa-Holm equation with linear multiplicative noise.
citing papers explorer
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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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Global Existence of Weak Martingale Solutions to the Camassa-Holm Equation with Linear Multiplicative Noise
Global existence of H¹ martingale solutions to the stochastic Camassa-Holm equation is shown via viscous Galerkin approximations, tightness, and Skorokhod-Jakubowski representations.
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Invariant Measure of the Camassa-Holm Equation with Linear Multiplicative Noise
Proves almost sure continuous dependence of the solution map on initial data in H^s (s>3/2) and existence of non-unique invariant measures for the Camassa-Holm equation with linear multiplicative noise.