Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3

Details Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3 Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3

2007-02-01

arxiv.org/abs/math/0702033v1

Mathematics

Analysis of PDEs

38 pages

Scientific paper

We prove the existence of energy solutions of the energy critical focusing wave equation in R^3 which blow up exactly at x=t=0. They decompose into a bulk term plus radiation term. The bulk is a rescaled version of the stationary "soliton" type solution of the NLW. The construction depends crucially on the renormalization procedure of the "soliton" which we introduced in our companion paper on the wave map problem.

Affiliated with

Also associated with

No associations

Rating

Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3 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 Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slow blow-up solutions for the H^1(R^3) critical focusing semi-linear wave equation in R^3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-676043