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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 11–38
(Mi znsl1345)
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This article is cited in 4 scientific papers (total in 4 papers)
Quasilinear two-phase Venttsel problems
D. E. Apushkinskaya, A. I. Nazarov Saint-Petersburg State University
Abstract:
A majorant of the Hölder norms is established for solutions of the two-phase quasilinear parabolic (elliptic) boundary value problems with degenerate and nondegenerate Venttsel interface conditions. In addition, gradient estimates for solutions of the two-phase quasilinear nondegenerate Venttsel problems as well as the solvability results in Sobolev and Hölder spaces are obtained.
Received: 19.02.2000
Citation:
D. E. Apushkinskaya, A. I. Nazarov, “Quasilinear two-phase Venttsel problems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 11–38; J. Math. Sci. (N. Y.), 115:6 (2003), 2704–2719
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https://www.mathnet.ru/eng/znsl1345 https://www.mathnet.ru/eng/znsl/v271/p11
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Abstract page: | 229 | Full-text PDF : | 77 |
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