Mathematics – Analysis of PDEs
Scientific paper
2007-06-06
Mathematics
Analysis of PDEs
17 pages, to appear in in AnIHP Ann Non Lin
Scientific paper
In this article we will study the initial value problem for some Schr\"odinger equations with Diraclike initial data and therefore with infinite L2 mass, obtaining positive results for subcritical nonlinearities. In the critical case and in one dimension we prove that after some renormalization the corresponding solution has finite energy. This allows us to conclude a stability result in the defocusing setting. These problems are related to the existence of a singular dynamics for Schr\"odinger maps through the so called Hasimoto transformation.
Banica Valeria
Vega Luis
No associations
LandOfFree
On the Dirac delta as initial condition for nonlinear Schrödinger equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Dirac delta as initial condition for nonlinear Schrödinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Dirac delta as initial condition for nonlinear Schrödinger equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-356920