|
Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations
D. M. Lekveishvili
Abstract:
Generalized solutions of the Dirichlet problem for a fourth order elliptic equation in two independent variables are investigated. Unimprovable estimates are obtained for the modulus of the generalized solution and its first derivatives in the neighborhood of a boundary point; it is also proved that the generalized solutions belong to a Hölder space with an unimprovable index depending on the geometry of the domain.
Bibliography: 16 titles.
Received: 24.09.1984
Citation:
D. M. Lekveishvili, “Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 429–445; Math. USSR-Sb., 56:2 (1987), 429–446
Linking options:
https://www.mathnet.ru/eng/sm2169https://doi.org/10.1070/SM1987v056n02ABEH003045 https://www.mathnet.ru/eng/sm/v170/i3/p429
|
Statistics & downloads: |
Abstract page: | 382 | Russian version PDF: | 115 | English version PDF: | 16 | References: | 76 |
|