A global Carleman inequality and exact controllability of parabolic equations with mixed boundary conditions

DOI10.1007/S10255-006-6011-8zbMath1160.35339OpenAlexW2051241982MaRDI QIDQ942882

Tujin Kim, Jing Xu, Qian-shun Chang

Publication date: 8 September 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-6011-8

zbMATH Keywords

controllabilityparabolic equationCarleman inequalitymixed boundary conditiondivergence form operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Cites Work

• Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
• On the controllability of the heat equation with nonlinear boundary Fourier conditions.
• Exact controllability for semilinear parabolic equations with Neumann boundary conditions
• A weighted identity for partial differential operators of second order and its applications
• Remarks on exact controllability for the Navier-Stokes equations
• Approximate controllability of the semilinear heat equation
• Controllability of parabolic equations
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
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