Controllability of parabolic equations
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 ...
Controllability of parabolic equations
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WebJun 30, 1995 · Abstract This paper studies two problems of exact controllability of semilinear parabolic equations. In the first, the control is on the right-hand side of the … 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 …
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 equations are considered. We show that, in this framework, boundary controllability is not equivalent and is more complex than distributed controllability. 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…
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 … WebThis paper concerns a class of control systems governed by semilinear degenerate parabolic equations with convection terms, which cannot be controlled by the diffusion terms. The Carleman estimates and the observability inequalities for the corresponding linear equations are established if the degeneracy is relatively weak. Subsequently, it is …
WebControllability theory for nondegenerate parabolic equations has been widely investigated over the previous forty years and has been almost completed (see, e.g. [6]). Recently, the controllability theory for degenerate parabolic equations has been studied and some results have been known ([3, 7, 9, 10, 12, 14, 16, 17, 23, 26,
WebFinite-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 … dance of the 41 gifWebDownload 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 total page 226 pages. Available in PDF, EPUB and Kindle. ... the author addresses the controllability of parabolic equations on a variety of domains and the spectral ... dance of the blessed spirits harpWebMar 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 … dance of the bee sting true flutterWebJul 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. dance of states in indiaWebM. 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. bird\u0027s nest anna maria islandWebPARABOLIC 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 … bird\u0027s nest crossword clueWebKeywords and phrases: Controllability, Sentinels, Parabolic equation. The authors thank the referees for their careful reading and their precious comments. Their help is much … bird\\u0027s milk cake recipe ptichye moloko