𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence of Global and Bounded Solutions of the Wave Equation with Linear Dissipation and Analytic Nonlinearity

✍ Scribed by Mohamed Ali Jendoubi


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
217 KB
Volume
144
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Analytic Solutions of a Class of Linear
✍ Eugenia N. Petropoulou πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 78 KB

A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert Ž . Ž . space H ⌬ and the Banach space H ⌬ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.

Parametric Resonance and Nonexistence of
✍ Karen Yagdjian πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 144 KB

We give an example of the influence of the dependence of the coefficient of equation on time variable, and in particular oscillations in time, on a global existence of the solution to the nonlinear hyperbolic equation. Namely for arbitrary small initial data we construct a blowing up solution.

Some remarks on global existence to the
✍ Nour-Eddine Amroun; AbbΓ¨s Benaissa πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB πŸ‘ 1 views

## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(ℝ^__n__^ ). (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Global existence, blow up and asymptotic
✍ Xu Runzhang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## Abstract We study the Cauchy problem of nonlinear Klein–Gordon equation with dissipative term. By introducing a family of potential wells, we derive the invariant sets and prove the global existence, finite time blow up as well as the asymptotic behaviour of solutions. In particular, we show a s