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- W2115467992 abstract "We consider second order uniformly elliptic operators of divergence form in $mathbb {R}^{d+1}$ whose coefficients are independent of one variable. Under the Lipschitz condition on the coefficients we characterize the domain of the Poisson operators and the Dirichlet-Neumann maps in the Sobolev space $H^s(mathbb {R}^d)$ for each $sin [0,1]$. Moreover, we also show a factorization formula for the elliptic operator in terms of the Poisson operator." @default.
- W2115467992 created "2016-06-24" @default.
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- W2115467992 date "2015-11-06" @default.
- W2115467992 modified "2023-09-28" @default.
- W2115467992 title "On Poisson operators and Dirichlet-Neumann maps in $H^s$ for divergence form elliptic operators with Lipschitz coefficients" @default.
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- W2115467992 doi "https://doi.org/10.1090/tran/6571" @default.
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