The Dirichlet problem for stochastic partial differential equations with nonlocal operators in C^1, σ open sets

Key Points

• Strong solutions exist for the dirichlet problem in weighted sobolev spaces, meeting the demands of advanced mathematical frameworks.
• The study establishes maximal L_p-regularity estimates, crucial for analyzing the behavior of solutions under various conditions.
• Nonlocal operators are extensively considered, showcasing their relevance in formulating more general stochastic models.
• Regularity theory is applied in C^{1,σ} open sets, which broadens the scope of potential applications in real-world scenarios.