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- W2912088810 abstract "Based on the $H^2$ existence of the solution, we investigate weighted estimates for a mixed boundary elliptic system in a two-dimensional corner domain, when the contact angle $omin(0,pi/2)$. This system is closely related to the Dirichlet-Neumann operator in the water-waves problem, and the weight we choose is decided by singularities of the mixed boundary system. Meanwhile, we also prove similar weighted estimates with a different weight for the Dirichlet boundary problem as well as the Neumann boundary problem when $omin(0,pi)$." @default.
- W2912088810 created "2019-02-21" @default.
- W2912088810 creator A5004242775 @default.
- W2912088810 date "2019-01-23" @default.
- W2912088810 modified "2023-10-14" @default.
- W2912088810 title "Weighted elliptic estimates for a mixed boundary system related to the Dirichlet-Neumann operator on a corner domain" @default.
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- W2912088810 doi "https://doi.org/10.48550/arxiv.1901.08205" @default.
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