ISSN:
1420-8989
Keywords:
35Q72
;
35D10
;
45E10
;
47B35
;
47G30
;
41A60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The aim of this paper is to develop the Wiener-Hopf method for systems of pseudo-differential equations with “non-constant coefficients” and to apply it to the describtion of the asymptotic behaviour of solutions to boundary integral equations for crack problems when a crack occurs in a linear anisotropic elastic medium. The method was suggested in [15] for scalar pseudo-differential equations with “constant coefficients” and applied in [7] to the crack problems in the isotropic case. The existence and a-priori smoothness of solutions for the anisotropic case has been proved in [11, 12], while the isotropic case has been treated earlier in [7, 25, 41, 50]. Our results improve even those for the isotropic case obtained in [7, 50]. Asymptotic estimates for the behaviour of solutions in the anisotropic case have been obtained in [28] by a different method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01198487
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