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This article is cited in 8 scientific papers (total in 8 papers)
On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary
V. G. Maz'ya, A. A. Soloviev
Abstract:
Integral equations for the Dirichlet problem for the Laplace operator are studied in a plane domain whose boundary has interior or exterior peaks with tangency of first order. Theorems on unique solvability and asymptotics of solutions near the peaks are presented.
Bibliography: 8 titles.
Received: 19.09.1988
Citation:
V. G. Maz'ya, A. A. Soloviev, “On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary”, Mat. Sb., 180:9 (1989), 1211–1233; Math. USSR-Sb., 68:1 (1991), 61–83
Linking options:
https://www.mathnet.ru/eng/sm1657https://doi.org/10.1070/SM1991v068n01ABEH001196 https://www.mathnet.ru/eng/sm/v180/i9/p1211
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Abstract page: | 531 | Russian version PDF: | 164 | English version PDF: | 21 | References: | 74 | First page: | 1 |
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