Journal of Siberian Federal University. Mathematics & Physics / On Inequalities of the Friedrichs type for Combined Domains

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (2)
Authors
Andreev, Viktor K.
Contact information
Andreev, Viktor K.
Keywords
a priori estimate; Friedrichs inequality; variational problem
Abstract

Integral inequalities of the Friedrichs type for combined domains with plane and cylindrical symmetries are proved. The optimal constants in the right-hand sides of the inequalities are found. These constants depend on physical and geometrical parameters of the domains. Some generalizations of these inequalities to domains of a different shape are considered.

Pages
146-157
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1269