Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation
Vladimir A. Kondratiev; Olga A. Oleinik
- Volume: 80, Issue: 7-12, page 525-529
- ISSN: 1120-6330
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topKondratiev, Vladimir A., and Oleinik, Olga A.. "Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 80.7-12 (1986): 525-529. <http://eudml.org/doc/287478>.
@article{Kondratiev1986,
author = {Kondratiev, Vladimir A., Oleinik, Olga A.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {biharmonic equation; weak solutions; Dirichlet problem; singular point; estimates},
language = {eng},
month = {12},
number = {7-12},
pages = {525-529},
publisher = {Accademia Nazionale dei Lincei},
title = {Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation},
url = {http://eudml.org/doc/287478},
volume = {80},
year = {1986},
}
TY - JOUR
AU - Kondratiev, Vladimir A.
AU - Oleinik, Olga A.
TI - Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/12//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 7-12
SP - 525
EP - 529
LA - eng
KW - biharmonic equation; weak solutions; Dirichlet problem; singular point; estimates
UR - http://eudml.org/doc/287478
ER -
References
top- KONDRATIEV, V.A. and OLEINIK, O.A. - Best possible estimates in Hölder spaces for weak solutions of the biharmonic equation, the Navier-Stokes system, and the Karman system in non-smooth two-dimensional domains. «Vestnik Mosc. Univ.», ser. 1, «Mat., Mech.», 6, 22-39, 1983.
- KONDRATIEV, V.A., KOPACEK, J., LEKVEISHVILI, D.M. and OLEINIK, O.A. - Best possible estimates in Hölder spaces and the precise Saint-Venant principle for solutions of the biharmonic equation, «Trudy Mat. Institute im. Steklov», 166, 91-106, 1984. Zbl0566.35045MR752171
- KONDRATIEV, V.A. and OLEINIK, O.A. - On the smoothness of weak solutions of the Dirichlet problem for the biharmonic equation in domains with non-regular boundary. In: Nonlinear partial differential equations and their applications. College de France seminar, 7, 180-199, 1986. Zbl0576.35040MR879462
- OLEINIK, O.A. - On some mathematical problems of elasticity. Convegno Celebrativo del Centenario della nascita di Mauro Picone e di Leonida Tonelli, 6-9 maggio 1985. «Accad. Naz. dei Lincei», Roma, 259-273, 1986.
- KOPACEK, J. and OLEINIK, O.A. - On the behaviour of solutions of the elasticity system in a neighbourhood of irregular points of the boundary and at the infinity, «Transactions of the Moscow Math. Society», 43, 1981. Zbl0506.73020
- AGMON, S.J. DOUGLIS, A. and NIRENBERG, L. - Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. «I. Comm. Pure Appl. Math.», 12, 623-727, 1959. Zbl0093.10401MR125307
- SOBOLEV, S.L. - Some applications of functional analysis to mathematical physics. Leningrad Univers., 1950. Zbl0123.09003MR52039
- MORREY, C.B. - Multiple integrals in the calculus of variations. Springer Verlag, 130, 1966. Zbl0142.38701MR202511
- MAZYA, V.G. and SHAPOSHNIKOVA, T.O. - On requirements for the boundary in -theory of elliptic boundary value problems, «Dokl. A.N. USSR», 251 (5), 1055-1058, 1980. Zbl0456.35024MR569375
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