Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equation under the Bardos-Lebeau-Rauch geometric control condition.

DOI10.1016/S0898-1221(02)00256-0zbMath1051.93050OpenAlexW1981740383MaRDI QIDQ1416339

Kim Dang Phung

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00256-0

zbMATH Keywords

heat equationsingular perturbationdistributed controlnull controllabilitysingularly perturbed wave equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Singular perturbations in context of PDEs (35B25) Time-scale analysis and singular perturbations in control/observation systems (93C70) Heat equation (35K05)

Related Items (4)

Controllability of two coupled wave equations on a compact manifold ⋮ 2\textsc{d} Grushin-type equations: minimal time and null controllable data ⋮ Resolvent conditions for the control of parabolic equations ⋮ Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

Cites Work

• Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
• Exact controllability for semilinear wave equations in one space dimension
• Observability and Control of Schrödinger Equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Unnamed Item

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