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
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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.
@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},
publisher = {mathdoc},
volume = {138},
year = {1984},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/ %G ru %F ZNSL_1984_138_a10
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/