Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications

DOI10.1016/j.jmaa.2018.04.033zbMath1390.93756OpenAlexW2797812007MaRDI QIDQ1748335

Peng Gao

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.033

zbMATH Keywords

observabilitynull controllabilityCarleman estimateunique continuation propertystochastic Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Estimation and detection in stochastic control theory (93E10) Linear systems in control theory (93C05)

Related Items (7)

Irreducibility of Kuramoto-Sivashinsky equation driven by degenerate noise ⋮ Unique continuation for a fourth-order stochastic parabolic equation ⋮ A numerical method for a backward problem of a linear stochastic Kuramoto-Sivashinsky equation ⋮ Local null controllability of the stabilized Kuramoto-Sivashinsky system using moment method ⋮ Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem ⋮ On the stability of recovering two sources and initial status in a stochastic hyperbolic-parabolic system ⋮ Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations

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