Optimal control for a parabolic problem in a domain with highly oscillating boundary
From MaRDI portal
Publication:4656477
DOI10.1080/00036810410001724670zbMath1082.49005OpenAlexW2010554233MaRDI QIDQ4656477
Cătălin-George Lefter, Antonio Gaudiello, Umberto De Maio
Publication date: 11 March 2005
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810410001724670
Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Homogenization of a boundary optimal control problem governed by Stokes equations, Junction of a periodic family of elastic rods with a 3d plate. I., Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization, Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1, Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization, Optimal control for a second-order linear evolution problem in a domain with oscillating boundary, Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary, Exact internal controllability for a problem with imperfect interface, Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients, Optimal control problem governed by wave equation in an oscillating domain and homogenization, Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain, Semi-linear optimal control problem on a smooth oscillating domain, Asymptotic analysis of an interior optimal control problem governed by Stokes equations, Optimal control problem for an anisotropic parabolic problem in a domain with very rough boundary, Homogenization of parabolic equation in an evolving domain with an oscillating boundary, Homogenization of an evolution problem with \( L\log L\) data in a domain with oscillating boundary, Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem, Optimal control for a hyperbolic problem in composites with imperfect interface: a memory effect, Exact controllability for evolutionary imperfect transmission problems, Homogenization of the brush problem with a source term in \(L^{1}\), Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls, Asymptotic analysis of Neumann periodic optimal boundary control problem, An optimal control problem in a tubular thin domain with rough boundary, Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem, Homogenization and exact controllability for problems with imperfect interface, Optimal control for evolutionary imperfect transmission problems, HIGHLY OSCILLATING BOUNDARIES AND REDUCTION OF DIMENSION: THE CRITICAL CASE, Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition
Cites Work
- Compact sets in the space \(L^ p(0,T;B)\)
- Approximate Controllability of linear parabolic equations in perforated domains
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- Homogenization of a monotone problem in a domain with oscillating boundary
- Homogenization of oscillating boundaries and applications to thin films