Global existence for coupled Klein-Gordon equations with different speeds

Details Global existence for coupled Klein-Gordon equations with different speeds Global existence for coupled Klein-Gordon equations with different speeds

2010-05-28

arxiv.org/abs/1005.5238v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

Consider, in dimension 3, a system of coupled Klein-Gordon equations with different speeds, and an arbitrary quadratic nonlinearity. We show, for data which are small, smooth, and localized, that a global solution exists, and that it scatters. The proof relies on the space-time resonance approach; it turns out that the resonant structure of this equation has features which were not studied before, but which are generic in some sense.

Affiliated with

Also associated with

No associations

Rating

Global existence for coupled Klein-Gordon equations with different speeds 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 Global existence for coupled Klein-Gordon equations with different speeds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global existence for coupled Klein-Gordon equations with different speeds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-15746