Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential

Details Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential

2005-03-09

arxiv.org/abs/math/0503171v1

Mathematics

Analysis of PDEs

34 pages, 1 figure

Scientific paper

We study the nonlinear wave equation with a sign-changing potential in any
space dimension. If the potential is small and rapidly decaying, then the
existence of small-amplitude solutions is driven by the nonlinear term. If the
potential induces growth in the linearized problem, however, solutions that
start out small may blow-up in finite time.

Affiliated with

Also associated with

No associations

Rating

Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential 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 Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369698