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Constructive Weak Solutions of the Dirichlet Problem
Author(s) -
Bridges Douglas,
Yuchuan Wang
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006243
Subject(s) - constructive , mathematics , dirichlet distribution , domain (mathematical analysis) , dirichlet boundary condition , boundary (topology) , dirichlet problem , boundary value problem , calculus (dental) , mathematical economics , computer science , mathematical analysis , process (computing) , operating system , medicine , dentistry
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.