Energy decay of solutions to the Cauchy problem for a nondissipative wave equation

2010 ◽  
Vol 51 (12) ◽  
pp. 123504 ◽  
Author(s):  
Abbes Benaissa ◽  
Sohbi Benazzouz
Keyword(s):  
Cauchy Problem ◽  
Wave Equation ◽  
Energy Decay ◽  
Decay Of Solutions ◽  
The Cauchy Problem

scholarly journals Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation

2004 ◽  
Vol 2004 (11) ◽  
pp. 935-955 ◽  
Author(s):  
Abbès Benaissa ◽  
Soufiane Mokeddem
Keyword(s):  
Cauchy Problem ◽  
Wave Equation ◽  
Global Existence ◽  
Stable Set ◽  
Nonlinear Dissipation ◽  
Weakly Nonlinear ◽  
Dissipative Term ◽  
Decay Properties ◽  
Decay Of Solutions ◽  
The Cauchy Problem

We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set inH1(ℝn).

Sign in / Sign up

Export Citation Format

Share Document