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Characterization of a convex obstacle by singularities of the scattering kernel. (English) Zbl 0611.35066

The author studies relations between singularities of the scattering kernel of the wave equation in an exterior domain and the convexity of the obstacle. He gives a necessary and sufficient condition to have convexity.
Reviewer: D.Robert

MSC:

35P25 Scattering theory for PDEs
35L05 Wave equation
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References:

[1] Lax, P. D.; Phillips, R. S., Scattering Theory (1967), Academic Press: Academic Press New York · Zbl 0214.12002
[2] Lax, P. D.; Phillips, R. S., Scattering theory for the acoustic equation in an even number of space dimensions, Indiana Univ. Math. J., 22, 101-134 (1972) · Zbl 0236.35036
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