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The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II

Published online by Cambridge University Press:  24 October 2008

F. G. Friedlander  and
R. B. Melrose
F. G. Friedlander
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Cambridge
R. B. Melrose
Affiliation:
St John's College, Cambridge
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Extract

This paper is a sequel to an earlier paper in these Proceedings by one of us ((5); this will be referred to as [I]). The question considered there was that of determining the wave front set of the solution of the boundary value problem

where x∈+, y∈n, and n > 1; the precise meaning of the boundary condition at x = 0 is explained in section 1 below. The principal result of [I] can be expressed concisely by saying that singularities do not propagate along the boundary; a detailed statement is given in Theorem 1·9 of the present paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 1 , January 1977 , pp. 97 - 120
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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