A new global Carleman estimate for Cahn-Hilliard type equation and its applications

DOI10.1016/j.jde.2015.08.053zbMath1334.35080OpenAlexW2209977796MaRDI QIDQ888207

Peng Gao

Publication date: 4 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.053

zbMATH Keywords

null controllabilityunique continuation propertyglobal Carleman estimateCahn-Hilliard type equation

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for higher-order parabolic equations (35K35) Observability (93B07) Higher-order parabolic equations (35K25)

Related Items (15)

Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates ⋮ Local exact controllability to the trajectories of the Swift-Hohenberg equation ⋮ On the cost of null controllability of a fourth-order parabolic equation ⋮ Null Controllability for Fourth Order Stochastic Parabolic Equations ⋮ Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate ⋮ Lipschitz stability of an inverse source problem for ADMB-KdV equation ⋮ Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity ⋮ Unique continuation for a fourth-order stochastic parabolic equation ⋮ Unique continuation property for the Zakharov-Kuznetsov equation ⋮ Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ Carleman estimate for an adjoint of a damped beam equation and an application to null controllability ⋮ Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation ⋮ Local exact controllability to the trajectories of the Cahn-Hilliard equation ⋮ Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation with boundary and distributed controls

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