We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of Double-struck capital Rd for d=1,2,3. We prove Schauder-type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup.
Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
Bignamini D. A.
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2024-01-01
Abstract
We consider stochastic reaction-diffusion equations with colored noise on the space of real-valued and continuous functions on a compact subset of Double-struck capital Rd for d=1,2,3. We prove Schauder-type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup.
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