| Abstract: |
| In this talk I will introduce a Sobolev regularity theory for the Dirichlet problem of SPDEs having spatial non-local operators in $C^{1,\sigma}$ open sets.
I will consider substantially large classes of nonlocal operators and generalized Gaussian noise. The existence and uniqueness of strong solutions in weighted Sobolev spaces will be introduced, along with maximal $L_p$-regularity estimates for the solutions. |
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