Carleman estimates and null controllability of a class of singular parabolic equations

Abstract: In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms. The systems are shown to be null controllable by establishing Carleman estimates, observability inequalities and energy estimates for solutions to linearized equations.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Carleman estimates and null controllability of a class of singular parabolic equations ; volume:8 ; number:1 ; year:2018 ; pages:1057-1082 ; extent:26
Advances in nonlinear analysis ; 8, Heft 1 (2018), 1057-1082 (gesamt 26)

Creator
Du, Runmei
Eichhorn, Jürgen
Liu, Qiang
Wang, Chunpeng

DOI
10.1515/anona-2016-0266
URN
urn:nbn:de:101:1-2405021545303.992422699145
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:01 AM CEST

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Associated

  • Du, Runmei
  • Eichhorn, Jürgen
  • Liu, Qiang
  • Wang, Chunpeng

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