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- Volume 51 - Année 1982
- Numéro 1 - 2
- SUR LES ONDES DE SURFACE ANALYTIQUES DE NATURE NON DIFFRACTIVE
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SUR LES ONDES DE SURFACE ANALYTIQUES DE NATURE NON DIFFRACTIVE
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Abstract
In J. SJÖSTRAND, Analytic singularities and microhyperbolic boundary value problems. Math. Annalen, 254, pp. 211-256 (1980), J. Sjöstrand has developed a general theory of the propagation of analytic singularities in boundary value problems. In the present paper, we use this theory to investigate problems which give rise to a propagation in the boundary of non diffractive type. More precisely, we prove the existence of a supersonic boundary wave in the oblique derivative problem and also of the Rayleigh wave in the study of the propagation of elastic waves in an isotropic medium.
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A propos de : P. LOUSBERG
Université de Liège, Institut de Mathématique, 15, avenue des Tilleuls, B-4000 Liège, Belgique