arXiv:1412.2375 Abstract | arXiv Analytics

arXiv:1412.2375 [math.AP]Abstract References Reviews Resources

Near soliton dynamics and singularity formation for $L^2$ critical problems

Yvan Martel, Frank Merle, Pierre Raphael, Jeremie Szeftel

Published 2014-12-07Version 1

This survey reviews the state of the art concerning the singularity formation for two canonical dispersive problems: the mass critical non linear Schr\"odinger equation and the mass critical generalized KdV equation. In particular, we address the question of the classification of the flow for initial data near the soliton.

DOI: 10.1070/RM2014v069n02ABEH004888

Categories: math.AP

Keywords: singularity formation, soliton dynamics, critical problems, mass critical non linear, mass critical generalized kdv equation

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