Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 90, pp. 1-32.

Title: Initial-boundary value problems in a plane corner for the heat equation

Authors: Borys V. Bazaliy   (NAS, Donetsk, Ukraine)
         Nataliya Vasylyeva (NAS, Donetsk, Ukraine)
 
Abstract:
 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 Holder spaces.
 
Submitted September 11, 2009. Published June 30, 2010.
Math Subject Classifications: 35K20, 35K365.
Key Words: Initial boundary value problems; nonsmooth domains;
           weighted Holder spaces; trigonometric series.