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Controllability of the Semilinear Heat Equation with Impulses and Delay on the State

100%

Leiva H.

Nonautonomous Dynamical Systems

2015

tom 2

nr 1

In this paper we prove the interior approximate controllability of the following Semilinear Heat Equation with Impulses and Delay [...] where Ω is a bounded domain in RN(N ≥ 1), φ : [−r, 0] × Ω → ℝ is a continuous function, ! is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be- longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ℝ × ℝ → ℝ are smooth enough, such that [...] Under this condition we prove the following statement: For all open nonempty subset ! of Ω the system is approximately controllable on [0, τ], for all τ > 0.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Leiva H.

1 2015

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Controllability of the Semilinear Heat Equation with Impulses and Delay on the State