Null controllability of semilinear degenerate parabolic equations in bounded domains

Date

2006-10-31

Authors

Cannarsa, Piermarco
Fragnelli, Genni

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Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper we study controllability properties for semilinear degenerate parabolic equations with nonlinearities involving the first derivative in a bounded domain of R. 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.

Description

Keywords

Null controllability, Semilinear parabolic equations, Degenerate equations

Citation

Cannarsa, P., & Fragnelli, G. (2006). Null controllability of semilinear degenerate parabolic equations in bounded domains. <i>Electronic Journal of Differential Equations, 2006</i>(136), pp. 1-20.

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Attribution 4.0 International

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