A note on the Rellich formula in Lipschitz domains.
Ancona, Alano
Publicacions Matemàtiques, Tome 42 (1998), p. 223-237 / Harvested from Biblioteca Digital de Matemáticas
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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 ∈ H0 1(Ω­); L(u) ∈ L2(­Ω)} of L. This answers a question of A. Chaïra and G. Lebeau.

Publié le : 1998-01-01
DMLE-ID : 3857 
@article{urn:eudml:doc:41325,
     title = {A note on the Rellich formula in Lipschitz domains.},
     journal = {Publicacions Matem\`atiques},
     volume = {42},
     year = {1998},
     pages = {223-237},
     mrnumber = {MR1628097},
     zbl = {0923.31008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41325}
}

Ancona, Alano. A note on the Rellich formula in Lipschitz domains.. Publicacions Matemàtiques, Tome 42 (1998) pp. 223-237. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41325/