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Smoothness Properties of Bounded Solutions of Dirichlet's Problem for Elliptic Equations in Regions with Corners on the Boundary

Published online by Cambridge University Press:  20 November 2018

A. Azzam
A. Azzam*
Affiliation:
Department of Mathematics University of WindsorWindsorOnt. N9B 3P4
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We study here the smoothness of solutions of the Dirichlet problem for elliptic equations in a region G with a piece-wise smooth boundary. The smoothness of the solution given depends on the smoothness of the coefficients of the equation, the boundary, the boundary function and the values of the angles on the boundary and the values of the coefficients of the second derivatives at the corners.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 213 - 226
Copyright
Copyright © Canadian Mathematical Society 1980

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