Uniform decay rates of solutions to a system of coupled PDEs with nonlinear internal dissipation.

zbMath1036.35031MaRDI QIDQ1413604

Francesca Bucci

Publication date: 17 November 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

decay estimateshyperbolic type equationsinternal dampingparabolic type equationsdamping in the boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions ⋮ Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms

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