A note on the Rellich formula in Lipschitz domains.
Publicacions Matemàtiques (1998)
- Volume: 42, Issue: 1, page 223-237
- ISSN: 0214-1493
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topAncona, Alano. "A note on the Rellich formula in Lipschitz domains.." Publicacions Matemàtiques 42.1 (1998): 223-237. <http://eudml.org/doc/41325>.
@article{Ancona1998,
abstract = {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.},
author = {Ancona, Alano},
journal = {Publicacions Matemàtiques},
keywords = {Dominios de Lipschitz; Operadores elípticos; Teoría del potencial; Rellich formula; Harnach boundary principle; potential theory in Lipschitz domains},
language = {eng},
number = {1},
pages = {223-237},
title = {A note on the Rellich formula in Lipschitz domains.},
url = {http://eudml.org/doc/41325},
volume = {42},
year = {1998},
}
TY - JOUR
AU - Ancona, Alano
TI - A note on the Rellich formula in Lipschitz domains.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 1
SP - 223
EP - 237
AB - 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.
LA - eng
KW - Dominios de Lipschitz; Operadores elípticos; Teoría del potencial; Rellich formula; Harnach boundary principle; potential theory in Lipschitz domains
UR - http://eudml.org/doc/41325
ER -
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