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This article is cited in 1 scientific paper (total in 1 paper)
Discrete Hölder estimates for a parametrix variation
A. I. Parfenov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
In nonhomogeneous Hölder spaces, we prove continuity of integral operators with kernels from a special class and indicate simplest properties of this class. A parametrix of new type is constructed in a half-space for second order elliptic operators. We establish that, in local Hölder norms, it admits more exact estimate than that for a parametrix close to the Levi function.
Key words:
Hölder space, integral operator, parametrix, discretization, stability of the Green functions.
Received: 07.06.2013
Citation:
A. I. Parfenov, “Discrete Hölder estimates for a parametrix variation”, Mat. Tr., 17:1 (2014), 175–201; Siberian Adv. Math., 25:3 (2015), 209–229
Linking options:
https://www.mathnet.ru/eng/mt272 https://www.mathnet.ru/eng/mt/v17/i1/p175
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Abstract page: | 258 | Full-text PDF : | 69 | References: | 31 | First page: | 2 |
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