Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

31 pages

Scientific paper

In this article one will develop a so-called hyperboloidal foliation method, which is an energy method based on a foliation of space-time into hyperboloidal hypersurfaces. This method permits to treat the wave equations and the Klein-Gordon equations in the same framework so that one can apply it to the coupled systems of wave and Klein-Gordon equations. As an application, one will establish the global-in-time existence of small amplitude solution to the coupled wave and Klei-Gordon equations with quadratic nonlinearity in four space-time dimensions under certain conditions. Compared with those introduced by S. Katayama, the conditions imposed in this article permit to include some important nonlinear terms. All of these suggests that this method may be a more natural way of regarding the wave operator.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions 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 of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global existence of small amplitude solution to nonlinear system of wave and Klein-Gordon equations in four space-time dimensions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-514422

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.