Null–controllability of One–dimensional Parabolic Equations
نویسنده
چکیده
We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.
منابع مشابه
Sharp Estimates of the One-Dimensional Boundary Control Cost for Parabolic Systems and Application to the N-Dimensional Boundary Null Controllability in Cylindrical Domains
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω = (0, π)×Ω2 with Ω2 a smooth domain of RN−1, N > 1. When the control is exerted on {0} × ω2 with ω2 ⊂ Ω2, we obtain a necessary and sufficient condition that completely characterizes the null controllability. This result is obtained through the Lebeau– Robbiano strategy and ...
متن کاملNull Controllability of Some Systems of Two Parabolic Equations with One Control Force
In this paper we establish some exact controllability results for systems of two parabolic equations. In a first part, we prove the existence of insensitizing controls for the L norm of the gradient of solutions of linear heat equations. Then, in the worst situation where null controllability for a system of two parabolic equations can hold, we prove this result for some general couplings. MSC:...
متن کاملLinear Degenerate Parabolic Equations in Bounded Domains: Controllability and Observability
In this paper we study controllability properties of linear degenerate parabolic equations. Due to degeneracy, classical null controllability results do not hold in general. Thus we investigate results of 'regional null controllability', showing that we can drive the solution to rest at time T on a subset of the space domain, contained in the set where the equation is nondegenerate. keywords: l...
متن کاملControllability of 1-d Coupled Degenerate Parabolic Equations
This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations. The first system consists of two forward equations, while the second one consists of one forward equation and one backward equation. Both systems are in cascade, that is, the solution of the first equation acts as a control for the second equation an...
متن کاملNull Controllability of Some Systems of Two Backward Stochastic Heat Equations with One Control Force
In this paper, we establish the null controllability for system coupled by two backward stochastic parabolic equations. The desired controllability result is obtained by means of proving a suitable observability estimate for the dual system of the controlled system. 2000 Mathematics Subject Classification. Primary 93B05; Secondary 93B07
متن کامل