A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues

Details A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues

2008-09-22

arxiv.org/abs/0809.3631v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

We prove a dispersive estimate for the evolution of Schroedinger operators $H = -\Delta + V(x)$ in ${\mathbb R}^3$. The potential is allowed to be a complex-valued function belonging to $L^p(\R^3)\cap L^q(\R^3)$, $p < \frac32 < q$, so that $H$ need not be self-adjoint or even symmetric. Some additional spectral conditions are imposed, namely that no resonances of $H$ exist anywhere within the interval $[0,\infty)$ and that eigenfunctions at zero (including generalized eigenfunctions) decay rapidly enough to be integrable.

Affiliated with

Also associated with

No associations

Rating

A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues 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 A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A dispersive bound for three-dimensional Schroedinger operators with zero energy eigenvalues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-299437