Stability for the Kirchhoff plates equations with viscoelastic boundary conditions in noncylindrical domains

DOI10.1155/2013/420803zbMath1293.35033OpenAlexW2047712918WikidataQ58916251 ScholiaQ58916251MaRDI QIDQ2015530

Jum-Ran Kang

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/420803

zbMATH Keywords

existenceuniquenessdecay of the energy

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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• On global solvability and asymptotic behaviour of a mixed problem for a nonlinear degenerate Kirchhoff model in moving domains
• Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
• Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary
• Global existence and stability for a von Karman equations with memory in noncylindrical domains
• Stability for the beam equation with memory in non‐cylindrical domains
• A boundary condition with memory for the Kirchhoff plate equations with non‐linear dissipation

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