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CONSTRUCTIVE WEAK SOLUTIONS OF THE DIRICHLET PROBLEM

Published online by Cambridge University Press:  01 June 1998

DOUGLAS BRIDGES  and
WANG YUCHUAN
DOUGLAS BRIDGES
Affiliation:
Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand. E-mail: [email protected]
WANG YUCHUAN
Affiliation:
Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand. E-mail: [email protected]
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Abstract

The paper provides necessary and sufficient conditions for the existence of weak solutions for the Dirichlet problem within Bishop's constructive mathematics. It also considers the continuity of those weak solutions relative to the boundary data and the domain.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 655 - 667
Copyright
The London Mathematical Society 1998

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