A note on the Rellich formula in Lipschitz domains.
Publicacions Matemàtiques, Tome 42 (1998) no. 1, p. 223-237.
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 ∈ H01(Ω­); L(u) ∈ L2(­Ω)} of L. This answers a question of A. Chaïra and G. Lebeau.
Source:
Zbl
Classification : 35J15, 47F05, 31C45 
@article{PMATES_1998__42_1_41325,
     author = {Alano Ancona},
     title = {A note on the {Rellich} formula in {Lipschitz} domains.},
     journal = {Publicacions Matem\`atiques},
     pages = {223-237},
     volume = {42},
     number = {1},
     year = {1998},
     zbl = {an:0923.31008},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41325/}
}
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Alano Ancona. A note on the Rellich formula in Lipschitz domains.. Publicacions Matemàtiques, Tome 42 (1998) no. 1, p. 223-237. https://geodesic-test.mathdoc.fr/item/PMATES_1998__42_1_41325/