论文信息 - Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three

Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three

We prove dispersive estimates for solutions to the wave equation with a real-valued potential V ∈ L∞(R), n = 2 or 3, satisfying V (x) = O(〈x〉−(n+1)/2−ǫ), ǫ > 0.

G. Vodev | C. Cuevas | F. Cardoso

[1] G. Vodev,et al. Weighted L^p decay estimates of solutions to the wave equation with a potential , 2004, math/0410462.

[2] V. Georgiev,et al. Decay Estimates for the Wave Equation with Potential , 2003 .

[3] Claudio Cuevas,et al. Lp′-Lp decay estimates of solutions to the wave equation with a short-range potential , 2006, Asymptot. Anal..

[4] G. Vodev. Local energy decay of solutions to the wave equation for short‐range potentials , 2004 .

[5] W. Strauss,et al. Lp Estimates for the wave equation with a potential , 1993 .