A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
نویسندگان
چکیده
منابع مشابه
A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
We consider a non degenerate quasilinear parabolic stochastic partial differential equation with a uniformly elliptic diffusion matrix. It is driven by a nonlinear noise. We study regularity properties of its weak solution satisfying classical a priori estimates. In particular, we determine conditions on coefficients and initial data under which the weak solution is Hölder continuous in time an...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/130950549