We study abstract evolution equations with nonlinear damping terms and source terms,
including as a particular case a nonlinear wave equation of the type cl u_ tt-Δ u+ b| u_t|^ m-2 …

On Global Solutions and Blow-up Solutions of Nonlinear Kirchhoff Strings with Nonlinear
Dissipation Page 1 Ž . JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 216 …

In mathematical physics we increasingly encounter PDEs models connected with vibration
problems for elastic bodies and deformation processes, as it happens in the Kirchhoff–Love …

We study the asymptotic stability for solutions of the nonlinear damped Kirchhoff system, with
homogeneous Dirichlet boundary conditions, under fairly natural assumptions on the …

This work is devoted to studying a wave equation with degenerate nonlocal nonlinear
damping and source terms. By potential well theory, we show the asymptotic stability of …

This article concerns the blow-up and asymptotic stability of weak solutions to the wave
equation utt−∆ u+| u| kj (ut)=| u| p− 1 u inΩ×(0, T), where p> 1 and j denotes the derivative of …

This paper deals with decay properties for the solutions of second-order damped abstract
evolution equations. A large number of applications is given, concerning damped wave …

The problem of stability and blow-up for dissipative evolution equations will be treated by
Lyapunov-type methods. The discussion will be carried out particularly in the context of …

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Nonlinear analysis and measure theory; recent results of the mathematical seminar in perugia
Page 1 Applicable Analysrs. Vol. pp. Reprints available directly from the Publisher Photocopying …