Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 7-48
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W. M. Zajączkowski; V. A. Solonnikov. On the Heumann problem for second order elliptic equations in domains with edges at the boundary. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 7-48. http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a1/
@article{ZNSL_1983_127_a1,
author = {W. M. Zaj\k{a}czkowski and V. A. Solonnikov},
title = {On the {Heumann} problem for second order elliptic equations in domains with edges at the boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {7--48},
year = {1983},
volume = {127},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a1/}
}
TY - JOUR
AU - W. M. Zajączkowski
AU - V. A. Solonnikov
TI - On the Heumann problem for second order elliptic equations in domains with edges at the boundary
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 7
EP - 48
VL - 127
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a1/
LA - ru
ID - ZNSL_1983_127_a1
ER -
%0 Journal Article
%A W. M. Zajączkowski
%A V. A. Solonnikov
%T On the Heumann problem for second order elliptic equations in domains with edges at the boundary
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 7-48
%V 127
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a1/
%G ru
%F ZNSL_1983_127_a1
It is proved that a weak solution of the Heumann problem for a second order elliptic equation in the a domain $\Omega\subset\mathbb R^n$ with smooth non-intersecting $n-2$-dimensional edges at the boundary belongs to a certain weighted Sobolev space Coercive estimates of the solution in the norm of this space are established.
