Optimal Control Problems in Coefficients for Degenerate Equations of Monotone Type: Shape Stability and Attainability Problems

DOI10.1137/100815761zbMath1246.49039OpenAlexW1998156826MaRDI QIDQ2910899

Umberto De Maio, Ol'ga P. Kogut, Ciro D' Apice

Publication date: 12 September 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100815761

zbMATH Keywords

weighted Sobolev spacesDirichlet optimal control problemLavrentieff phenomenonMosco-stabilitydegenerate monotone equationsshape stability and attainability problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Perturbations in control/observation systems (93C73) Variational problems in a geometric measure-theoretic setting (49Q20) Degenerate elliptic equations (35J70) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

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