Video library: I. V. Tsylin, О гладкости решений эллиптических уравнений в областях на многообразии

Videolibrary

RUS ENG

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 15:45–16:10, Дифференциальные уравнения, Moscow, Steklov Mathematical Institute of RAS

О гладкости решений эллиптических уравнений в областях на многообразии

I. V. Tsylin

Lomonosov Moscow State University

*Supplementary materials:*
	Adobe PDF	156.2 Kb

Supplementary materials:

abstract.pdf (156.2 Kb)

References

O. V. Besov, V. P. Ilin, S. M. Nikolskii, Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996
P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, London, 1985
D. Jerison, C. Kenig, “Boundary value problems on Lipschitz domains”, Studies in partial differential equations, 23 (1982), 1–68
S. M. Nikolskii, Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977
G. Savaré, “Regularity and perturbation results for elliptic equations on Lipschitz”, J. Funct. Anal., 152 (1998), 176–201
G. Savaré, G. Schimperna, “Domain perturbations estimates for the solutions of second order elliptic equations”, J. Math. Pures Appl., 81:11 (2002), 1071–1112
A. M. Stepin, I. V. Tsylin, “O kraevykh zadachakh dlya ellipticheskikh operatorov v sluchae oblastei na mnogoobraziyakh”, Doklady Akademii nauk, 2015 (to appear)