An observability estimate for the heat equation from a product of two measurable sets

DOI10.1016/j.jmaa.2012.05.082zbMath1270.35251OpenAlexW2089937637MaRDI QIDQ450966

Can Zhang

Publication date: 26 September 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.082

zbMATH Keywords

estimate of sums of eigenfunctions of the LaplacianLebeau-Robbiano strategy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Observability (93B07) A priori estimates in context of PDEs (35B45)

Related Items (12)

Observability estimate for the parabolic equations with inverse square potential ⋮ Controllability of impulse controlled systems of heat equations coupled by constant matrices ⋮ Analyticity of Solutions to Parabolic Evolutions and Applications ⋮ Observability and control of parabolic equations on networks with loops ⋮ Observability Inequalities for Parabolic Equations over Measurable Sets and Some Applications Related to the Bang-Bang Property for Control Problems ⋮ Equivalence between Minimal Time and Minimal Norm Control Problems for the Heat Equation ⋮ Observability estimate for the fractional order parabolic equations on measurable sets ⋮ Decompositions and bang-bang properties ⋮ Observability from measurable sets for a parabolic equation involving the Grushin operator and applications ⋮ Null controllability of the heat equation in pseudo-cylinders by an internal control ⋮ Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations ⋮ Observability Inequalities from Measurable Sets for Some Abstract Evolution Equations

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