Asymptotic analysis of Neumann periodic optimal boundary control problem

DOI10.1002/mma.3865zbMath1353.35041OpenAlexW2300289896MaRDI QIDQ2830309

Bidhan Chandra Sardar, Ravi Prakash, A. K. Nandakumaran

Publication date: 28 October 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3865

zbMATH Keywords

boundary controladjoint systemoscillating boundaryinterior controloptimal control and optimal solutionunfolding operatorboundary unfolding

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) 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 (11)

Homogenization of a boundary optimal control problem governed by Stokes equations ⋮ Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization ⋮ Homogenization of elliptic PDE with L 1 source term in domains with boundary having very general oscillations ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ Semi-linear optimal control problem on a smooth oscillating domain ⋮ Asymptotic analysis of an interior optimal control problem governed by Stokes equations ⋮ Exact controllability for evolutionary imperfect transmission problems ⋮ Locally periodic unfolding operator for highly oscillating rough domains ⋮ Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems ⋮ Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem ⋮ Homogenization and exact controllability for problems with imperfect interface

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