Null controllability of semilinear degenerate parabolic equations in bounded domains
Date
2006-10-31
Authors
Cannarsa, Piermarco
Fragnelli, Genni
Journal Title
Journal ISSN
Volume Title
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.
Rights
Attribution 4.0 International