# On poisson operators and dirichlet-neumann maps in Hs for divergence form elliptic operators with lipschitz coefficients

Yasunori Maekawa, Hideyuki Miura

3 被引用数 (Scopus)

## 抄録

We consider second order uniformly elliptic operators of divergence form in Rd+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 Hs(Rd) for each s∈[0,1]. Moreover, we also show a factorizationformula for the elliptic operator in terms of the Poisson operator.

本文言語 English 6227-6252 26 Transactions of the American Mathematical Society 368 9 https://doi.org/10.1090/tran/6571 Published - 2016

• 数学 (全般)
• 応用数学

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