arXiv Analytics

Sign in

arXiv:2106.02723 [math.AP]AbstractReferencesReviewsResources

A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton

Benjamin Dodson

Published 2021-06-04Version 1

In this paper we prove rigidity for blowup solutions to the focusing, mass-critical nonlinear Schr{\"o}dinger equation in dimensions $2 \leq d \leq 15$ with mass equal to the mass of the soliton. We prove that the only such solutions are the solitons and the pseudoconformal transformation of the solitons.

Comments: arXiv admin note: text overlap with arXiv:2104.11690
Categories: math.AP
Subjects: 35Q55
Related articles: Most relevant | Search more
arXiv:2104.11690 [math.AP] (Published 2021-04-23)
A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton
arXiv:math/0410538 [math.AP] (Published 2004-10-25, updated 2005-03-08)
$L^2$ blowup solutions of cubic NLS on $\R^2$ concentrate a fixed amount of mass
arXiv:0705.3560 [math.AP] (Published 2007-05-24, updated 2007-06-03)
Cubic Derivative Nonlinear Schrodinger has Blowup Solutions

Links

Toolbox