Some remarks on a second order evolution equation.
Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type
Some topological properties preserved by nearness between operators and applications to P.D.E.
Spatial decay estimates for a class of nonlinear damped hyperbolic equations.
Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions.
Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term
Stability of vibrations for some Kirchhoff equation with dissipation
In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances are insignificant....
Stabilization and control for the subcritical semilinear wave equation
Statistical mechanics of nonlinear wave equations
Strichartz Type Estimates for Oscillatory Problems for Semilinear Wave Equation
The author is partially supported by: M. U. R. S. T. Prog. Nazionale “Problemi e Metodi nella Teoria delle Equazioni Iperboliche”.We treat the oscillatory problem for semilinear wave equation. The oscillatory initial data are of the type u(0, x) = h(x) + ε^(σ+1) * e^(il(x)/ε) * b0 (ε, x) ∂t u(0, x) = ε^σ * e^(il(x)/ε) * b1(ε, x). By using suitable variants of Strichartz estimate we extend the results from [6] on a priori estimates of the approximations of geometric optics.The main improvement...
Strong global attractor for a quasilinear nonlocal wave equation on .
Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations
Sulle singolarità delle soluzioni di un problema di Dirichlet per un'equazione iperbolica del secondo ordine
A solution of a particular Dirichlet problem for a non-linear 2nd order hyperbolic equation is regular at any point of the boundary but one point. The kind of singularity which exhibits at this point is investigated.
Sur le temps d'existence pour l'équation de Klein-Gordon semi-linéaire en dimension 1
Sur l'équation des ondes non linéaires avec exposant critique
Sur un exemple d'équation linéaire hyperbolique n'ayant pas de solution
Symplectic integration of Hamiltonian wave equations.