On the Cauchy problem for stochastic parabolic equations in Hölder spaces

Du, Kai; Liu, Jiakun

doi:10.1090/tran/7533

On the Cauchy problem for stochastic parabolic equations in Hölder spaces
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Trans. Amer. Math. Soc. 371 (2019), 2643-2664 Request permission

Abstract:

In this paper, we establish a sharp $C^{2+\alpha }$-theory for stochastic partial differential equations of parabolic type in the whole space.

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