dendrites 发表于 2025-3-25 04:09:02
Unique Solvability of the Homogeneous Dirichlet Problemlation (VMO) coefficients in the framework of Sobolev spaces of . style. We prove an existence and uniqueness theorem for the Dirichlet problem (Theorem .). Our proof is based on some interior and boundary . estimates for the solutions of problem (15.2) (Theorems 12.1 and 12.2). Both the interior an可憎 发表于 2025-3-25 10:31:01
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Calderón–Zygmund Kernels and Their Commutatorstegral operators with non-smooth kernels provide a powerful tool to deal with smoothness of solutions of partial differential equations, with minimal assumptions of regularity on the coefficients (see ). The results discussed here are adapted from Coifman–Rochberg–Weiss and Bramanti–Cerutti .LAPSE 发表于 2025-3-25 18:43:14
Unique Solvability of the Homogeneous Dirichlet Problemd boundary . estimates are consequences of explicit representation formulas (13.1) and (14.1) for the solutions of problem (15.2) (Theorems 13.1 and 14.1) and also of the .-boundedness of Calderón–Zygmund singular integral operators and boundary commutators appearing in those representation formulas (Theorems 14.2 and 14.5).Diaphragm 发表于 2025-3-25 20:44:59
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Sobolev and Besov SpacesThis chapter is devoted to the precise definitions and statements of function spaces of . type with some detailed proofs.debble 发表于 2025-3-26 05:08:54
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