Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations
نویسندگان
چکیده
We consider some reaction-diffusion equations perturbed by white noise and prove Schauder estimates for the elliptic problem associated with the generator of the corresponding transition semigroup, defined in the Banach space of continuous functions. This requires the proof of some new interpolation result. 2000 Mathematics Subject Classification AMS: 35R15, 60H15, 35B45
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