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Global behaviour of nonlinear dispersive and wave equations
[article]
2006
arXiv
pre-print
We survey recent advances in the analysis of the large data global (and asymptotic) behaviour of nonlinear dispersive equations such as the nonlinear wave (NLW), nonlinear Schrödinger (NLS), wave maps (WM), Schrödinger maps (SM), generalised Korteweg-de Vries (gKdV), Maxwell-Klein-Gordon (MKG), and Yang-Mills (YM) equations. The classification of the nonlinearity as subcritical (weaker than the linear dispersion at high frequencies), critical (comparable to the linear dispersion at all
arXiv:math/0608293v1
fatcat:5znpxubfgzajtgcg7wrz3ord3q