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      Constructive Analysis of Partial Differential Equations

      Wang, Michael Yuchuan
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      Wang, M. Y. (1996). Constructive Analysis of Partial Differential Equations (Thesis, Doctor of Philosophy (PhD)). The University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/11383
      Permanent Research Commons link: https://hdl.handle.net/10289/11383
      Abstract
      This 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.
      Date
      1996
      Type
      Thesis
      Degree Name
      Doctor of Philosophy (PhD)
      Supervisors
      Bridges, Douglas
      Schroder, Mark
      Publisher
      The University of Waikato
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      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.
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