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20062025
most citedOn the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains

17 citations · 54 across the 16 of their papers we have counts for

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math.PR2021

Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains

Kyeong-Hun Kim, Kijung lee, Jinsol Seo

We establish existence, uniqueness, and Sobolev and Hölder regularity results for the stochastic partial differential equation $$ du=\left(\sum_{i,j=1}^d a^{ij}u_{x^ix^j}+f^0+\sum_…