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Non-Local Elliptic Boundary-Value Problems

Published online by Cambridge University Press:  20 November 2018

Bui An Ton
Bui An Ton*
Affiliation:
Université de Montréal, Montréal, P.Q.; University of British Columbia, Vancouver, B.C.
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Let G be a bounded open set of Rn with a smooth boundary ∂G. We consider the following elliptic boundary-value problem:

where A and Bj are, respectively singular integro-differential operators on G and on ∂G, of orders 2m and rj with rj < 2m; Ck are boundary differential operators, and Ljk are linear operators, bounded in a sense to be specified.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1365 - 1382
Copyright
Copyright © Canadian Mathematical Society 1968

References

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