Abstract
dc:description.abstractThis thesis presents the results produced in the study of weak solutions of the Dirichlet Problem within Errett Bishop's constructive mathematics. It roughly falls into three major parts: a critical analysis of the classical approaches from a constructive point of view (Chapter 2); constructive results on the existence, stability, and maximality of weak solutions (Chapter 5); and related results on the domains discovered during the course of study on the Dirichlet Problem (Chapters 3 and 6). Chapter 1 introduces constructive mathematics, and Chapter 4 is an auxiliary one in which I give two different constructions of a cut-off function.
Degree
thesis:*- Grantor dc:publisher.institution
- The University of Waikato
- Year dc:date.issued
- 1996
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
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- Wang, Michael Yuchuan
- Advisors dc:contributor.advisor
-
- Bridges, Douglas
- Schroder, Mark
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- All items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.