$H^{\frac{11}{4}}({\mathbb{R}}^2)$ ill-posedness for 2D Elastic Wave system

Xinliang An, Haoyang Chen, Silu Yin

In this paper, we prove that for the 2D elastic wave equations, a physical system with multiple wave-speeds, its Cauchy problem fails to be locally well-posed in $H^{\frac{11}{4}}(…