Geodesic
Initial-boundary value problems in a plane corner for the heat equation
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a267,
     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},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a267/}
}
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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__a267/