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Portugaliae Mathematica
Article . 2011 . Peer-reviewed
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zbMATH Open
Article . 2011
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Null controllability of degenerate parabolic cascade systems

Null controllability of degenerate parabolic cascade systems
Authors: Ait Ben Hassi, El Mustapha; Ammar Khodja, Farid; Hajjaj, Abdelkarim; Maniar, Lahcen;

Null controllability of degenerate parabolic cascade systems

Abstract

In this paper, we study the null controllability of degenerate semilinear cascade parabolic systems with one control force. The key tool is the Carleman estimates developed recently for degenerate one dimension parabolic equations. We develop a Carleman estimate for these systems and then an observability inequality for the linear adjoint system. We conclude by linearization and fixed point arguments.

Keywords

Controllability, Control/observation systems governed by partial differential equations, Initial-boundary value problems for second-order parabolic equations, degenerate parabolic equations, Degenerate parabolic equations, Carleman estimates, semigroups, observability inequality, cascade, null controllability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
gold
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