Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 146-180
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V. A. Solonnikov. On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 146-180. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/
@article{ZNSL_1984_138_a10,
author = {V. A. Solonnikov},
title = {On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {146--180},
year = {1984},
volume = {138},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/}
}
TY - JOUR
AU - V. A. Solonnikov
TI - On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 146
EP - 180
VL - 138
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/
LA - ru
ID - ZNSL_1984_138_a10
ER -
%0 Journal Article
%A V. A. Solonnikov
%T On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 146-180
%V 138
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/
%G ru
%F ZNSL_1984_138_a10
The unique solvability of classical initial boundary value problems for the heat equation in an unbounded $n$-dimensional wedge is proved and coercive estimates of their solutions in weighted Hölder spaces are obtained. The extended proofs are presented for the Uewmann problem.
