Decay estimate for the wave equation with a small potential

2007 ◽  
Vol 13 (5-6) ◽  
pp. 511-530 ◽  
Author(s):  
Vittoria Pierfelice
Keyword(s):  
Wave Equation ◽  
Decay Estimate

scholarly journals A Decay Estimate for a Wave Equation with Trapping and a Complex Potential

2012 ◽  
Vol 2013 (3) ◽  
pp. 548-561 ◽  
Author(s):  
Lars Andersson ◽  
Pieter Blue ◽  
Jean-Philippe Nicolas
Keyword(s):  
Wave Equation ◽  
Complex Potential ◽  
Decay Estimate

scholarly journals The Rate at Which the Energy of Solutions for a Class ofp-Laplacian Wave Equation Decays

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Soufiane Mokeddem ◽  
Khaled Ben Walid Mansour
Keyword(s):  
Wave Equation ◽  
Weight Function ◽  
Decay Estimate ◽  
Global Solutions ◽  
Positive Function ◽  
Integral Inequalities ◽  
Multiplier Method ◽  
Special Weight

We will investigate the decay estimate of the energy of the global solutions to thep-Laplacian wave equation with dissipation of the formutt-div (∇xup-2∇xu)+σ(t)(ut-div (∇xutm-2∇xut))=0under suitable assumptions on the positive functionσ. For this end we use the multiplier method combined with nonlinear integral inequalities given by Martinez; the proof is based on the construction of a special weight function that depends on the behavior ofσ.

scholarly journals Weighted decay estimate for the wave equation

1991 ◽  
Vol 112 (2) ◽  
pp. 393-393
Author(s):  
Val{éry Covachev ◽  
Vladimir Georgiev
Keyword(s):  
Wave Equation ◽  
Decay Estimate
Sign in / Sign up

Export Citation Format

Share Document