Answers are grounded in this paper and cite their sources.
This work demonstrates existence and uniqueness of solutions in weighted Sobolev spaces, indicating broad applicability of nonlocal operators and Gaussian noise.
This paper provides a comprehensive Sobolev regularity theory for the Dirichlet problem of stochastic partial differential equations in C1,σ open sets. We consider substantially large classes of nonlocal operators and generalized Gaussian noise. Our main results include the existence and uniqueness of strong solutions in weighted Sobolev spaces, along with maximal Lₚ-regularity estimates for the solutions.
No takes yet. Share an insight, caveat, or question.
Kim et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: