Null controllability with constraints on the state for nonlinear heat equations

DOI10.1515/FORM.2011.010zbMath1215.35083WikidataQ69846102 ScholiaQ69846102MaRDI QIDQ3168634

Gisèle M. Mophou

Publication date: 19 April 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

state constraintsCarleman estimates

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (9)

Control of Stackelberg for coupled parabolic equations ⋮ Some control problems for the Burgers equation ⋮ Null controllability with constraints on the state for stochastic heat equation ⋮ Null controllability with constraints on the state for the Korteweg-de Vries equation ⋮ Null controllability with constraints on the state for the linear Korteweg-de Vries equation ⋮ Null controllability with constraints on the state for the reaction-diffusion system ⋮ Internal controllability of the Kawahara equation on a bounded domain ⋮ Optimal control for distributed linear systems subjected to null-controllability ⋮ Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation

Cites Work

• Unique continuation for some evolution equations
• Sentinels with given sensitivity
• Contróle Exact De Léquation De La Chaleur
• On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
• Optimal control for distributed systems subject to null-controllability. Application to discriminating sentinels

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