Dynamics of Nonlinear Wave Equations

Abstract

In this lecture, we will survey the study of dynamics of the nonlinear wave equation in recent years. We refer to some lecture notes including such as C. Kenig [75,76], C. Kenig and F. Merle [77] J. Shatah and M. Struwe [125], and C. Sogge [131] etc. This lecture was written for LIASFMA School and Workshop on Harmonic Analysis and Wave Equations in Fudan universty.

Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation

“…The low‐energy scattering for or more general high‐order wave equations was proved in and . For other related study on , the reader can refer to .…”