On the resolvent of multidimensional operators with frequently changing boundary conditions in the case of the homogenized Dirichlet condition
Journal Article
·
· Sbornik. Mathematics
- Bashkir State Pedagogical University, Ufa (Russian Federation)
We consider an elliptic operator in a multidimensional domain with frequently changing boundary conditions in the case when the homogenized operator contains the Dirichlet boundary condition. We prove the uniform resolvent convergence of the perturbed operator to the homogenized operator and obtain estimates for the rate of convergence. A complete asymptotic expansion is constructed for the resolvent when it acts on sufficiently smooth functions. Bibliography: 41 titles.
- OSTI ID:
- 22364689
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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