# 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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