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Allal, Brahim; Fragnelli, Genni; Salhi, Jawad

Null controllability for degenerate parabolic equations with a nonlocal space term. (English) Zbl 07862932

Discrete Contin. Dyn. Syst., Ser. S 17, No. 5-6, 1821-1856 (2024).
Summary: We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated nonhomogeneous degenerate heat equations: we study their well posedness, the Carleman estimates for the associated adjoint problems and, finally, the null controllability. Then, as a consequence, using the Kakutani’s fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.

Cited in 1 Document

MSC:

35K65 Degenerate parabolic equations
93B05 Controllability
93B07 Observability
93C20 Control/observation systems governed by partial differential equations

Keywords:

null controllability; Carleman estimates; degenerate parabolic equation; nonlocal terms
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References:

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