Polynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm

Simple item page
dc.creatorColliander, J.
dc.creatorKeel, M.
dc.creatorStaffilani, G.
dc.creatorTakaoka, H.
dc.creatorTao, T.
dc.date2002-12-09
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:18Z
dc.date.available2026-07-07T06:19:18Z
dc.descriptionWe continue the study (initiated in \cite{ckstt:7}) of the orbital stability of the ground state cylinder for focussing non-linear Schrödinger equations in the $H^s(\R^n)$ norm for $1-\eps < s < 1$, for small $\eps$. In the $L^2$-subcritical case we obtain a polynomial bound for the time required to move away from the ground state cylinder. If one is only in the $H^1$-subcritical case then we cannot show this, but for defocussing equations we obtain global well-posedness and polynomial growth of $H^s$ norms for $s$ sufficiently close to 1.
dc.description20 pages, no figures. Some typos corrected
dc.identifierhttps://arxiv.org/abs/math/0212113
dc.identifierhttp://arxiv.org/abs/math/0212113
dc.identifierComm. Pure Appl. Anal. 2 (2003), 33-50
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95028
dc.subjectAnalysis of PDEs
dc.subject35Q53, 42B35, 37K10
dc.titlePolynomial upper bounds for the instability of the Nonlinear Schrödinger equation below the energy norm
dc.typetext

Files

Collections

arXiv