Well-posedness and regularity of Naghdi's shell equation under boundary control and observation

DOI10.1016/j.jde.2010.09.012zbMath1387.93062OpenAlexW2007763031MaRDI QIDQ615971

Shugen Chai, Bao-Zhu Guo

Publication date: 7 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.09.012

zbMATH Keywords

regularitywell-posednessboundary control and observationNaghdi's shell model

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Shells (74K25) Operator-theoretic methods (93B28) Boundary value problems for second-order elliptic systems (35J57) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (7)

Input-output \(L^2\)-well-posedness, regularity and Lyapunov stability of string equations on networks ⋮ Well-posedness and regularity of Euler-Bernoulli equation with variable coefficient and Dirichlet boundary control and collocated observation ⋮ Well-posedness and regularity for non-uniform Schrödinger and Euler-Bernoulli equations with boundary control and observation ⋮ Exact boundary controllability of the structural acoustic model with variable coefficients ⋮ Well-posed systems -- the LTI case and beyond ⋮ Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback ⋮ Exact Controllability of Structural Acoustic Interactions with Variable Coefficients

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