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

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.

Bibliographic Details
Main Authors: Borys V. Bazaliy, Nataliya Vasylyeva
Format: Article
Language:English
Published: Texas State University 2010-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/90/abstr.html
Description
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 Holder spaces.
ISSN:1072-6691