arXiv Analytics

Sign in

arXiv:1103.4725 [math.AP]AbstractReferencesReviewsResources

Magnetic Virial and applications to blow up for Schrödinger and wave equations

Andoni Garcia

Published 2011-03-24, updated 2011-11-21Version 3

We prove blow up results for the solution of the initial value problem with negative energy of the focusing mass-critical and supercritical nonlinear Schr\"odinger and the focusing energy-subcritical nonlinear wave equations with electromagnetic potential.

Comments: 16 pages, final version incorporating referee's comments. To appear in Journal of Physics A: Mathematical and Theoretical
Categories: math.AP
Subjects: 35J10, 35L05, 58J45
Related articles: Most relevant | Search more
arXiv:1105.0873 [math.AP] (Published 2011-05-04, updated 2011-07-06)
Effective limiting absorption principles, and applications
arXiv:1207.6375 [math.AP] (Published 2012-07-26, updated 2012-07-30)
Vector analysis on fractals and applications
arXiv:math/0101119 [math.AP] (Published 2001-01-13)
On an estimate for the wave equation and applications to nonlinear problems