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On the Dirichlet Problem for the Two‐dimensional Biharmonic Equation
Author(s) -
Constanda Christian
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970710)20:10<885::aid-mma893>3.0.co;2-d
Subject(s) - biharmonic equation , mathematics , dirichlet problem , dirichlet distribution , mathematical analysis , dirichlet's principle , boundary value problem
Modified fundamental solutions are used to show that the system of boundary integral equations in a direct method for the interior Dirichlet problem for the two‐dimensional biharmonic equation has at most one solution on any smooth closed boundary contour. © 1997 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.