Long-time asymptotics for the Elastic Beam equation in the solitonless region via $\bar{\partial }$ methods

Wei-Qi Peng, Yong Chen

In this work, we study the Cauchy problem of the Elastic Beam equation with initial value in weighted Sobolev space $H^{1,1}(\mathbb{R})$ via the $\bar{\partial }$-steepset descent…