Well-posedness and stability of a hinged plate equation with a localized nonlinear structural damping
DOI10.1016/j.na.2009.05.026zbMath1239.74048OpenAlexW2029053727MaRDI QIDQ425811
Publication date: 9 June 2012
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.05.026
stabilizationplate equationperturbed energy methoddifferential inequalitiesmultiplier techniquesLyapunov function methodlocalized dampingEuler-Bernoulli equation
Smoothness and regularity of solutions to PDEs (35B65) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)
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