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, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 205; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Boundary-value problem in a cylinder with frequently changing type of boundary
On the Dirichlet problem for the Helmholtz equation on the plane with boundary conditions on an almost closed curve
Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain
Journal Article
·
Sat Aug 31 00:00:00 EDT 2002
· Sbornik. Mathematics
·
OSTI ID:21205708
On the Dirichlet problem for the Helmholtz equation on the plane with boundary conditions on an almost closed curve
Journal Article
·
Fri Jun 30 00:00:00 EDT 2000
· Sbornik. Mathematics
·
OSTI ID:21202944
Homogenization of a mixed problem with Signorini condition for an elliptic operator in a perforated domain
Journal Article
·
Tue Feb 27 23:00:00 EST 2001
· Sbornik. Mathematics
·
OSTI ID:21205587