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Research announcement on gaierkirfs method for a class of integra equations of the first kind |
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| Authors: | George C Hsiaot Wolfgang Wendlandt |
| Institution: | Department of Mathematics , University of Delaware , Newark, Delaware, 19711, U.S.A |
| Abstract: | Let X and Y be locally convex spaces with K a closed convex cone in X Necessary and sufficient conditions are given for the image AK to be closed in Ywhen A:X→Y is a continuous linear map. This result is used to generalize a theorem of Abrams to infinite dimensional spaces and also to give sufficient conditions for the Hurwicz version of the Farkas lemma for locally convex spaces to hold. |
| Keywords: | Integral equations of the first kind Galerkin's method regular finite element spaces interior and exterior Dirichlet problems |