Asymptotic behavior of solutions to plate equations with nonlinear dissipation occuring through shear forces and bending moments

DOI10.1007/BF01445162zbMath0686.73017MaRDI QIDQ1262797

Irena Lasiecka

Publication date: 1990

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

bendingnonlinear boundary conditionsmultivalued boundary conditionsnonlinear momentsnonlinear shear forcesthin, isotropic, homogeneous plate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Methods involving semicontinuity and convergence; relaxation (49J45) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

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Cites Work

• Unnamed Item
• Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
• Caractérisation de quelques espaces d'interpolation
• Asymptotic behavior of nonlinear contraction semigroups