Uniform convergence for problems with perforation along a given manifold and with a nonlinear Robin condition on the boundaries of cavities
DOI10.1090/SPMJ/1819MaRDI QIDQ6633317
Denis Borisov, A. R. Mukhametrakhimova
Publication date: 5 November 2024
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
uniform convergencehomogenizationboundary value problemperforated domainnonlinear Robin conditionestimate of convergence rate
Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- On the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized condition
- On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder
- On a waveguide with an infinite number of small windows
- On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition
- Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities
- Asymptotics of a spectral-sieve problem
- On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems
- Homogenization in domains randomly perforated along the boundary
- The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes
- Interior error estimate for periodic homogenization
- Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows
- Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit
- Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions
- Homogenization estimates for singularly perturbed operators
- Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case
- Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics
- Uniform resolvent convergence for strip with fast oscillating boundary
- Linear and quasilinear elliptic equations
- Operator estimates in homogenization theory
- Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
- Homogenization of the planar waveguide with frequently alternating boundary conditions
- Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients
- On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type
- Second order periodic differential operators. Threshold properties and homogenization
- On homogenization procedure for periodic operators near the edge of an internal gap
- On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems
- Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds
- On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case
- Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition
- On the resolvent of multidimensional operators with frequently changing boundary conditions in the case of the homogenized Dirichlet condition
- Nonlinear Reaction-Diffusion Processes for Nanocomposites
- Homogenization of elliptic systems with periodic coefficients: operator error estimates in $L_2(\mathbb {R}^d)$ with corrector taken into account
- HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
- On the Steklov problem in a domain perforated along a part of the boundary
- Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
- Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
This page was built for publication: Uniform convergence for problems with perforation along a given manifold and with a nonlinear Robin condition on the boundaries of cavities
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6633317)