Changxing Miao, Jiqiang Zheng
Published 2017-11-02Version 1
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.
Comments: 80pages. arXiv admin note: text overlap with arXiv:1506.00788, arXiv:0710.5934, arXiv:1407.4525, arXiv:1601.01871, arXiv:1301.4835, 1509.03331, arXiv:1010.3799, arXiv:1201.3258, arXiv:0911.4534, arXiv:1411.7905, by other authors
Probabilistic local and global well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$
Norm inflation for nonlinear wave equations with infinite loss of regularity in Wiener amalgam spaces
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
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