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_…