18 citations · 29 across the 5 of their papers we have counts for
9 papers · 1 filter
Energy decay estimates for the wave equation with supercritical nonlinear damping
Alain Haraux, Louis Tebou
We consider a damped wave equation in a bounded domain. The damping is nonlinear and is homogeneous with degree p -- 1 with p > 2. First, we show that the energy of the strong solu…
Sharp ultimate velocity bounds for the general solution of some linear second order evolution equation with damping and bounded forcing
Marina Ghisi, Chiara Giraudo, Massimo Gobbino +1
We consider a class of linear second order differential equations with damping and external force. We investigate the link between a uniform bound on the forcing term and the corre…
On spatial Gevrey regularity for some strongly dissipative second order evolution equations
Alain Haraux, Mitsuharu Otani
Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and , c be positive constants. We show that all solutions of the evolution equation u + Au + cA…
Small perturbations for a Duffing-like evolution equation involving non-commuting operators
Marina Ghisi, Massimo Gobbino, Alain haraux
We consider an abstract evolution equation with linear damping, a nonlinear term of Duffing type, and a small forcing term. The abstract problem is inspired by some models for damp…
Universal bounds for a class of second order evolution equations and applications
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider a class of abstract second order evolution equations with a restoring force that is strictly superlinear at infinity with respect to the position, and a dissipation mec…
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider an abstract nonlinear second order evolution equation, inspired by some models for damped oscillations of a beam subject to external loads or magnetic fields, and shake…