Dynamics of nonlinear wave equations
Changxing Miao, Jiqiang Zheng
TL;DR
This paper surveys recent developments in the dynamics of nonlinear wave equations, highlighting key results and references in the field for an academic audience interested in harmonic analysis and wave phenomena.
Contribution
It provides a comprehensive overview of recent research and foundational lecture notes on the dynamics of nonlinear wave equations.
Findings
Summarizes key results from recent studies.
References influential lecture notes and research papers.
Highlights ongoing challenges and future directions.
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 \cite{Kenig01,Kenig02}, C. Kenig and F. Merle \cite{KM1} J. Shatah and M. Struwe \cite{SS98}, and C. Sogge \cite{sogge:wave} etc. This lecture was written for LIASFMA School and Workshop on Harmonic Analysis and Wave Equations in Fudan universty.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Stability and Controllability of Differential Equations