Microlocal parametrices for a mixed problem with diffractive boundary

• Autorzy: Kołakowski H.
• Języki publikacji: EN

Abstrakty

EN

Following the works of M. Taylor and K. Kubota [3], [5] a parametrix for a three-dimensional mixed problem with diffractive boundary for the Lame equation is constructed. The two-dimensional case was investigated by Taylor [5]. If the wave front sets (WF(f)) of right-hand sides of the boundary conditions do not contain glancing points, this construction is almost the same as in [5] (see also [1]. In the case when W F( f ) contains diffractive points Kubota's method is used.

Słowa kluczowe

EN

diffractive points; mixed problem; parametrix

PL

parametryzacja; problem mieszany; punkty dyfrakcyjne; równania różniczkowe cząstkowe

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1999
• Tom: Vol. 47, no 4
• Strony: 369--376
• Opis fizyczny: Bibliogr. 5 poz.,

Twórcy

autor

Kołakowski H.

• Institute of Mathematics, Warsaw University, 02-097 Warsaw, Banacha 2, Poland

Bibliografia

• [1] G. Bies, H. Kołakowski, Rayleigh waves in linear isotropic elasticmedia, Bull. Ac. Pol.: Tech., 34 (3-4) (1986) 157-162.
• [2] F. Friedlander, The wave front set of a simple initial-boundary value prob¬lem with glancing rays, Math. Proc. Camb. Phil. Soc., 79 (1976) 145-149.
• [3] K. Kubota, Microlocal parametrices for mixed problems for symmetric hyper¬bolic system with diffractive boundary, Hokkaido Math. Journal, 10 (1981) 264-298.
• [4] A. Sommerfeld, Mechanik der Deformierbaren Medien, Akademische Verlag, Leipzig 1949.
• [5] M. E. Taylor, Rayleigh waves in linear elasticity as a propagation of singu¬larities phenomenon, Lect. Notes Pure Appl. Math., Marcel Dekker. Inc., New York and Basel 48 (1979) 273-291.