Global exixtence and exponential decay estimates for a dampad quasilinear equation

Abstract

We prove the existence and uniqueness of a global solution of a damped quasilineat hyperbolic equatiion. We apply a method based on a special integral inequality, to show that the solution decays exponentially, and to obtain precise estimates of the constants in estimates.

Keywords:

• global existence
• exponential decay
• quasilinear equation
• generalized damped string
• hyperbolic equation
• stabilization

Additional information

Notes on contributors

Solange Kouémou-Patcheu