Geodesic
Initial-boundary value problems in a plane corner for the heat equation
Electronic journal of differential equations, Tome 2010 (2010)
We study the Dirichlet initial problem for the heat equation by the Fourier-Bessel method in a plane corner. We prove classical solvability for the problem in weighted Hölder spaces.
Classification : 35K20, 35K365
Keywords: initial boundary value problems, nonsmooth domains, weighted holder spaces, trigonometric series 
@article{EJDE_2010__2010__a67,
     author = {Bazaliy,  Borys V. and Vasylyeva,  Nataliya},
     title = {Initial-boundary value problems in a plane corner for the heat equation},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1195.35162},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a67/}
}
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%A Vasylyeva,  Nataliya
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Bazaliy,  Borys V.; Vasylyeva,  Nataliya. Initial-boundary value problems in a plane corner for the heat equation. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a67/