Stable self-similar blow up for energy subcritical wave equations

Details Stable self-similar blow up for energy subcritical wave equations Stable self-similar blow up for energy subcritical wave equations

2012-01-20

arxiv.org/abs/1201.4337v2

Dyn. Partial Differ. Equ. 9 (2012) no. 1, 63-87

Mathematics

Analysis of PDEs

typos corrected, will appear in Dyn. PDE

Scientific paper

We consider the semilinear wave equation \[ \partial_t^2 \psi-\Delta \psi=|\psi|^{p-1}\psi \] for $10$ and $\kappa_p$ is a $p$-dependent constant. We prove that the blow up described by $\psi^T$ is stable against small perturbations in the energy topology. This complements previous results by Merle and Zaag. The method of proof is quite robust and can be applied to other self-similar blow up problems as well, even in the energy supercritical case.

Affiliated with

Also associated with

No associations

Rating

Stable self-similar blow up for energy subcritical wave 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 Stable self-similar blow up for energy subcritical wave equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable self-similar blow up for energy subcritical wave equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321198