The heat expansion for systems of integral equations II

Article type: Research Article

Authors: Widom, Harold^;

Affiliations: Department of Mathematics, University of California, Santa Cruz, CA 95064, U.S.A.

Note: [] Research supported by a grant from the National Science Foundation.

Abstract: In an earlier work and (n+1)-term “heat expansion” was derived for a class of integral operators on bounded domains of Rn. A certain condition was required without which the expansion could be incorrect. In this paper it is shown that even without this condition n terms of the expansion are correct. In addition, two classes of examples are given where the condition is satisfied.

DOI: 10.3233/ASY-1988-1201

Journal: Asymptotic Analysis, vol. 1, no. 2, pp. 95-103, 1988