Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory

DOI10.3934/mcrf.2017002zbMath1360.93101OpenAlexW4384974497MaRDI QIDQ728207

Pierre Lissy

Publication date: 19 December 2016

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2017002

zbMATH Keywords

cost of controllabilitymoment methodlinear parabolic equationslinear dispersive equations

Mathematics Subject Classification ID

Controllability (93B05) Heat equation (35K05) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Higher-order parabolic systems (35K41) Trigonometric moment problems in one variable harmonic analysis (42A70)

Related Items (6)

Uniform indirect boundary controllability of semi-discrete 1-\(d\) coupled wave equations ⋮ An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity ⋮ Analyticity and observability for fractional order parabolic equations in the whole space ⋮ The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation ⋮ Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method ⋮ Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method

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