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This article is cited in 1 scientific paper (total in 1 paper)
On the smoothness of solutions of differential equations at singular points of the boundary of the domain
A. V. Babin Moscow State University of Railway Communications
Abstract:
Second-order elliptic equations with analytic coefficients and right sides in a domain with piecewise smooth boundary are studied. It is assumed that the boundary is characteristic at all points. Both Lipschitz and non-Lipschitz singularities of the boundary are admitted. It is proved that for large values of the spectral parameter, solutions possess high smoothness even at those points where the boundary has singularities. The results are based on the study of a constructive representation of solutions of the equations in the form of series of analytic functions.
Received: 05.09.1989
Citation:
A. V. Babin, “On the smoothness of solutions of differential equations at singular points of the boundary of the domain”, Math. USSR-Izv., 37:3 (1991), 489–510
Linking options:
https://www.mathnet.ru/eng/im1036https://doi.org/10.1070/IM1991v037n03ABEH002155 https://www.mathnet.ru/eng/im/v54/i6/p1134
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Abstract page: | 247 | Russian version PDF: | 85 | English version PDF: | 10 | References: | 49 | First page: | 1 |
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