Well‐posedness and stability for a Petrovsky equation with properties of nonlinear localized for strong damping

DOI10.1002/MMA.6963zbMath1470.35130OpenAlexW3096290406MaRDI QIDQ5004127

Hocine Mohamed Braiki, Sabeur Mansouri, Mama Abdelli, Khaled Zennir

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6963

zbMATH Keywords

exponential stabilizationplate equationmultiplier methodFaedo-Galerkin methodpolynomial stabilizationnonlinear localized strong damping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Plates (74K20) Weak solutions to PDEs (35D30) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

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