Singularly perturbed elliptic problems of second order with a singular line
H.-G. Roos
Technische Universität Dresden, GermanyLutz Tobiska
Otto-von-Guericke-Universität, Magdeburg, Germany
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Abstract
For some classes of singularly perturbed elliptic problems, in which the characteristics of the reduced problem are parallel or perpendicular to the singular line, uniform asymptotic approximations are constructed. The order of approximation depends on the behaviour of the coefficients of the reduced problem in the neighbourhood of the singular line and on the properties of the considered domain.
Cite this article
H.-G. Roos, Lutz Tobiska, Singularly perturbed elliptic problems of second order with a singular line. Z. Anal. Anwend. 2 (1983), no. 6, pp. 563–571
DOI 10.4171/ZAA/85