Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition

DOI10.3934/eect.2015.4.325zbMath1339.35155OpenAlexW2292225273MaRDI QIDQ258807

Carmen Perugia, Akamabadath K. Nandakumaran, Umberto De Maio

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.325

zbMATH Keywords

exact controllabilitywave equationhomogenizationhomogeneous Neumann boundary conditionoscillating boundarytransposition method

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (11)

Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization ⋮ Quasi-stationary ferromagnetic problem for thin multi-structures ⋮ Exact internal controllability for a problem with imperfect interface ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Homogenization of an evolution problem with \( L\log L\) data in a domain with oscillating boundary ⋮ Optimal control for a hyperbolic problem in composites with imperfect interface: a memory effect ⋮ Exact controllability for evolutionary imperfect transmission problems ⋮ Theoretical developments in the study of partial differential equations ⋮ Homogenization and exact controllability for problems with imperfect interface ⋮ Optimal control for evolutionary imperfect transmission problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries
• Optimal control problem for an anisotropic parabolic problem in a domain with very rough boundary
• Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls
• Homogenization of oscillating boundaries
• Asymptotic approximation of the solution of Stokes equations in a domain with highly oscillating boundary
• Exact internal controllability in performed domains
• Compact sets in the space \(L^ p(0,T;B)\)
• Asymptotic behaviour of non-homogeneous Neumann problems in domains with oscillating boundary
• Boundary layer correctors for the solution of Laplace equation in a domain with oscillating boundary
• Exact boundary controllability for the wave equation in domains with small holes
• Effective boundary condition for Stokes flow over a very rough surface
• Homogenization of the Poisson equation in a thick periodic junction
• Boundary homogenization and Neumann boundary value problem
• Optimal control for evolutionary imperfect transmission problems
• Junction of a periodic family of elastic rods with a 3d plate. I.
• Junction of a periodic family of elastic rods with a thin plate. II.
• Limit behavior of thin heterogeneous domain with rapidly oscillating boundary
• Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary
• Approximate Controllability of linear parabolic equations in perforated domains
• Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary
• Optimal control for a second-order linear evolution problem in a domain with oscillating boundary
• Derivation of the viscous Moore-Greitzer equation for aeroengine flow
• Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
• Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
• Optimal control for a parabolic problem in a domain with highly oscillating boundary
• An Introduction to Partial Differential Equations
• Homogenization of a monotone problem in a domain with oscillating boundary
• Gap phenomenon in the homogenization of parabolic optimal control problems
• HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH LlogL DATA IN A DOMAIN WITH OSCILLATING BOUNDARY
• Homogenization of oscillating boundaries and applications to thin films

This page was built for publication: Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition