On the decay of solutions to a class of defocusing NLS

Details On the decay of solutions to a class of defocusing NLS On the decay of solutions to a class of defocusing NLS

2008-11-12

arxiv.org/abs/0811.1849v1

Mathematics

Analysis of PDEs

8

Scientific paper

We consider the following family of Cauchy problems: {equation*} i\partial_t u= \Delta u - u|u|^\alpha, (t,x) \in \R \times \R^d {equation*} $$u(0)=\varphi\in H^1(\R^d)$$ where $0<\alpha<\frac 4{d-2}$ for $d\geq 3$ and $0<\alpha<\infty$ for $d=1,2$. We prove that the $L^r$-norms of the solutions decay as $t\to \pm \infty$, provided that $2\frac 4d$.

Affiliated with

Also associated with

No associations

Rating

On the decay of solutions to a class of defocusing NLS 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 decay of solutions to a class of defocusing NLS, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the decay of solutions to a class of defocusing NLS will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100782