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Stabilization of the semilinear wave equation with viscous damping

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Publication:804811
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DOI10.1016/0022-0396(90)90041-MzbMath0728.35012MaRDI QIDQ804811

Irena Lasiecka

Publication date: 1990

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


zbMATH Keywords

local exponential stabilityfollowing nonlinear wave equation


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Groups and semigroups of linear operators (47D03)


Related Items

Uniform stabilization of a nonlinearly perturbed Kirchhoff plate, Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems



Cites Work

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  • Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
  • Stabilization of hyperbolic and parabolic systems with nonlinearly perturbed boundary conditions
  • Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
  • Geometric theory of semilinear parabolic equations
  • Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data
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