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This article is cited in 8 scientific papers (total in 8 papers)
General boundary value problems for a class of singular and degenerate elliptic equations
V. V. Katrakhov
Abstract:
This paper investigates general boundary value problems for a class of singular and degenerate elliptic equations satisfying Lopatinskii-type conditions on the part of the boundary where the singularity is concentrated. In the elliptic equations considered, the singular Bessel operator $\displaystyle B=\frac{\partial^2}{\partial y^2}+\frac{2\nu+1}y\frac\partial{\partial y}$ operates on one of the variables. For the above-mentioned problems coercive (a priori) bounds are given, right and left regularizers are given, and, with these, Fredholm solvability is proved.
Bibliography: 15 titles.
Received: 22.02.1980
Citation:
V. V. Katrakhov, “General boundary value problems for a class of singular and degenerate elliptic equations”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 354–379; Math. USSR-Sb., 40:3 (1981), 325–347
Linking options:
https://www.mathnet.ru/eng/sm2730https://doi.org/10.1070/SM1981v040n03ABEH001822 https://www.mathnet.ru/eng/sm/v154/i3/p354
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Abstract page: | 426 | Russian version PDF: | 154 | English version PDF: | 16 | References: | 57 |
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