A Note on the Rellich Formula in Lipschitz Domains
نویسنده
چکیده
Let L be a symmetric second order uniformly elliptic operator in divergence form acting in a bounded Lipschitz domain Ω of RN and having Lipschitz coefficients in Ω. It is shown that the Rellich formula with respect to Ω and L extends to all functions in the domain D = {u ∈ H1 0 (Ω); L(u) ∈ L2(Ω)} of L. This answers a question of A. Chäıra and G. Lebeau.
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تاریخ انتشار 1998