Controllability of parabolic equations

Author: nfqi

August undefined, 2024

WebControllability of linear parabolic equations follows from the a priori estimate of Carleman type obtained in § 1. The derivation of this a priori estimate is a central feature of this paper. There are two principal differences between our Carleman estimate and the standard one (see [8]). First, it contains an integral over the lateral WebKeywords and phrases: Controllability, Sentinels, Parabolic equation. The authors thank the referees for their careful reading and their precious comments. Their help is much appreciated. Abstract. In this paper, we study an approximate controllability problem. This problem appears naturally of approximate sentinel "weakly sentinel".

Approximate controllability for fractional semilinear parabolic equations

WebOct 25, 2024 · Exact controllability theorems for linear parabolic equations in one space dimension. Arch. Rational Mech. Anal., 43 (4:272–92, ( 1971 ). Google Scholar [12] C., … WebABSTRACT. Abstract This paper surveys the authors’ and their collaborators’ works on the attempt to unify the controllability theory of parabolic and hyperbolic equations. First of all, we show that the observability inequalities of the dual systems for those two types of equations of a different nature may be derived by means of a global ... trevor heating repair

Controllability and Stabilization of Parabolic …

Webproblems which can be described by an equation of the form (1.1) (see [12,19] for more details). Barbu and Iannelli [5] obtained the controllability results of a similar type of … WebMar 31, 2005 · Abstract: In this paper, we obtain a global exact controllability result for a class of multidimensional semilinear hyperbolic equations with a superlinear nonlinearity and variable coefficients. For this purpose, we establish an observability estimate for the linear hyperbolic equation with an unbounded potential, in which the crucial observability … WebJan 1, 2002 · Request PDF On Jan 1, 2002, Viorel Barbu published Controllability of parabolic and Navier-Stokes equations Find, read and cite all the research you need … tend thesaurus

Carleman Estimates and Null Controllability for a Class of …

WebIn this paper, we study the null controllability and approximate controllability for a class of weakly degenerate parabolic equations with memory by means of boundary controls. … WebOct 21, 2011 · These latter inequalities yield a remarkable spectral inequality and the null controllability of the heat equation. Secondly, we prove Carleman estimates for parabolic operators. We state them locally in space at first, and patch them together to obtain a global estimate. This second approach also yields the null controllability of the heat ... tend the rabbits georgeWebFinite-Dimensional Approximate Controllability for a Nonlocal Parabolic Problem Silvano B. de Menezes1 Instituto de Matem´atica - UFPA Universidade Federal do Par´a 66075-110, Bel´em, PA, Brazil [email protected] Abstract. In this … tend the land meaning

"WebWe present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of ${\\mathbb R}^N$ with Dirichlet boundary conditions. We analyze the controllability problem with distributed controls (supported on a small open subset) and boundary controls (supported on a small part of … " - Controllability of parabolic equations

Controllability of parabolic equations

Stackelberg-Nash Controllability for a Quasi-linear Parabolic Equation ...

WebMar 8, 2024 · In that work, the controllability of coupled fractional parabolic systems with one control force is addressed and under the assumptions on the coefficients b_i and the … WebWe prove the interior null-controllability of one-dimensional parabolic equations with time independent measurable coefficients. ... Escauriaza, Luis AU - Alessandrini, Giovanni TI - Null-controllability of one-dimensional parabolic equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 SP - 284 EP - 293 VL - 14 IS - 2 ...

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WebWe consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular. Considering generalized Robin--Neumann boundary conditions at both extremities, we prove the null controllability with one boundary control by following the flatness approach, which provides explicitly … WebM. Duprez and P. Lissy, Indirect controllability of some linear parabolic systems of m equations with m - 1 controls involving coupling terms of zero or first order, J. Math. Pures Appl., 106 (2016), pp. 905--934.

WebPARABOLIC EQUATIONS PIERMARCO CANNARSA, LUZ DE TERESA Abstract. This paper is devoted to the study of null controllability proper-ties for two systems of coupled one dimensional degenerate parabolic equations. The rst system consists of two forward equations, while the second one con-sists of one forward equation and one backward … WebLet us consider a nonlinear degenerate reaction-diffusion equation with application to climate science. After proving that the solution remains nonnegative at any time, when the initial state is nonnegative, we prove t…

WebJul 31, 2015 · We prove null controllability for linear and semilinear heat equations with dynamic boundary ... WebJul 31, 2015 · We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions. observability estimate. Mathematics Subject Classification: Primary: 93B05; Secondary: 35K20, 93B07.

WebLet us consider a nonlinear degenerate reaction-diffusion equation with application to climate science. After proving that the solution remains nonnegative at any time, when …

WebOct 1, 2010 · Abstract. This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic … trevor helmkay facebookWebAbstractThis paper deals with the application of Stackelberg–Nash strategies for the controllability of parabolic partial differential equations, with nonlinear diffusion terms in the spatial variable with dimension N (here N is an any positive integer). ... tend the ground songWebAbstractIn this paper we consider the null controllability for a population model depending on time, on space and on age. Moreover, the diffusion coefficient degenerate at the boundary of the space domain. The novelty of this paper is that for the first ... tend to be likely to 違いWebControllability theory has been widely investigated for nondegenerate parabolic equations for almost ve decades and there have been a lot of results (see for instance [2, 12, 14]). The study on the degenerate parabolic equations just began ten years ago and a few results have been known. In particular, the following system tend the rabbitsWebWe present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of ${\\mathbb R}^N$ with … tend tlumaczWebJun 1, 2024 · 1. Introduction. Let Ω ⊂ R n be an open bounded domain with smooth boundary ∂ Ω. The purpose of this paper is to study the approximate controllability of the following fractional semilinear parabolic equations: (1.1) C D t q y ( t, x) + A ( x, D) y ( t, x) = f ( t, y ( t, x)) + B u ( t, x), 0 < t < b, x ∈ Ω, y ( 0, x) = y 0 ( x), x ∈ ... tend the lightWebDownload or read book Controllability and Stabilization of Parabolic Equations written by Viorel Barbu and published by Springer. This book was released on 2024-04-26 with … tend tn16-c