The Carleman inequality for linear parabolic equations in \(L^q\) norm.
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Publication:1847674
zbMath1034.93029MaRDI QIDQ1847674
Publication date: 1 April 2003
Published in: Differential and Integral Equations (Search for Journal in Brave)
optimal controlCarleman inequalitylinear parabolic equationsexponential stabilizabilityBolza problemssemilinear heat equations\(L^\infty\) state constraints
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Heat equation (35K05)
Related Items (7)
Internal Controllability of Parabolic Systems with Star- and Tree-like Couplings ⋮ \(L^p\) and \(L^\infty\) norm estimates of the cost of the controllability for heat equations ⋮ Some results on controllability of a nonlinear degenerate parabolic system by bilinear control ⋮ Stability in \(L^q\)-norm for inverse source parabolic problems ⋮ The existence of time optimal control of semilinear parabolic equations ⋮ The cost of approximate controllability of heat equation with general dynamical boundary conditions ⋮ Stability in inverse source problems for nonlinear reaction-diffusion systems
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