On Morawetz estimates for the elastic wave equation

2025/10/08 by Kim, Seongyeon, Seo, Ihyeok
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.06958

Abstract

We establish Morawetz-type estimates for solutions to the elastic wave equation with singular weights of the form |x|^-α or |(x,t)|^-α. In particular, we show that space-time weights |(x,t)|^-α admit stronger singularities and require weaker regularity assumptions on the initial data compared to purely spatial weights |x|^-α.

Citations

• Strichartz estimates and local regularity for the elastic wave equation with singular potentials
• Generalized Strichartz Inequalities for the Wave Equation

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