A null controllability problem with a finite number of constraints on the normal derivative for the semilinear heat equation

Louis-Rose, Carole

doi:10.14232/ejqtde.2012.1.95

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Cited by 5 publications

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“…The null controllability problem with constraint on the state has been studied in [9][10][11], for the parabolic evolution equation. [12] is concerned with the simultaneous null controllability with constraint on the control, for a system of coupled linear heat equations.…”

Section: Introductionmentioning

confidence: 99%

Null controllability with constraints on the state for the reaction–diffusion system

Gao

2015

Computers & Mathematics with Applications

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a b s t r a c tThis paper is addressed to study the null controllability with constraints on the state for the reaction-diffusion system. We transform the problem into an equivalent null controllability problem with constraint on the control. Using a Carleman inequality adapted to the constraint, we prove the null controllability with constraints on the state for the reaction-diffusion system holds.

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Section: Introductionmentioning

confidence: 99%