Semi-linear optimal control problem on a smooth oscillating domain
DOI10.1142/S0219199719500299zbMath1442.49004OpenAlexW2918357358MaRDI QIDQ5113117
Ravi Prakash, S. Aiyappan, A. K. Nandakumaran
Publication date: 10 June 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199719500299
Linear programming (90C05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Homogenization for problems in thermodynamics and heat transfer (80M40)
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Cites Work
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- Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries
- Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
- 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
- Homogenization of oscillating boundaries
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
- Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
- Boundary homogenization and Neumann boundary value problem
- 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.
- Asymptotic analysis of Neumann periodic optimal boundary control problem
- Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
- ASYMPTOTIC APPROXIMATION FOR THE SOLUTION TO THE ROBIN PROBLEM IN A THICK MULTI-LEVEL JUNCTION
- Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
- Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
- Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- The Periodic Unfolding Method
- 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
- Optimal control problem for the time-dependent Kirchhoff–Love plate in a domain with rough boundary
- Homogenization of a monotone problem in a domain with oscillating boundary
- Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
- Optimal control problem in a domain with branched structure and homogenization