NDLI: Constrained Evolution for a Quasilinear Parabolic Equation

Content Provider	Springer Nature Link
Author	Gilardi, Gianni Sprekels, Jürgen Colli, Pierluigi
Copyright Year	2016
Abstract	In the present contribution, a feedback control law is studied for a quasilinear parabolic equation. First, we prove the well-posedness and some regularity results for the Cauchy–Neumann problem for this equation, modified by adding an extra term which is a multiple of the subdifferential of the distance function from a closed convex set of the space of square-integrable functions. Then, we consider convex sets of obstacle or double-obstacle type and prove rigorously the following property: if the factor in front of the feedback control is sufficiently large, then the solution reaches the convex set within a finite time and then moves inside it.
Ending Page	734
Page Count	22
Starting Page	713
File Format	PDF
ISSN	00223239
e-ISSN	15732878
Journal	Journal of Optimization Theory and Applications
Issue Number	3
Volume Number	170
Language	English
Publisher	Springer US
Publisher Date	2016-07-06
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control problems Initial-boundary value problems for second-order parabolic equations Monotone nonlinearities Quasilinear parabolic equations Theory of Computation Feedback control Optimization Engineering Convex sets Quasilinear parabolic equation Calculus of Variations and Optimal Control; Optimization Applications of Mathematics Operation Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization Management Science and Operations Research

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