Averaging of singularly perturbed elliptic operators
β Scribed by V. V. Zhikov; E. V. Krivenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1983
- Tongue
- English
- Weight
- 450 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0001-4346
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## Abstract The norm of the inverse operator of Ο΅__A + B__ β Ξ»__I__ between the Besov spaces __B__, β (Ξ©) and __B^t^β,β__(Ξ©) is estimated, where __A__ and __B__ are uniformly elliptic operators with smooth coefficients and Dirichlet boundary conditions, __A__ is of order 2__m, B__ of order 2__m, m
We consider nonlinear, singularly perturbed differential inclusions and apply the averaging method in order to construct a limit differential inclusion for slow motion. The main approximation result states that the existence and regularity of the limit differential inclusion suffice to describe the