Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
     year = {1984},
     volume = {138},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/}
}
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%J Zapiski Nauchnykh Seminarov POMI
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%U http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a10/
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%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/