Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions

Details Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions

2001-01-13

arxiv.org/abs/math/0101120v2

Mathematics

Analysis of PDEs

Scientific paper

We prove that the Maxwell-Klein-Gordon equations on $\R^{1+4}$ relative to the Coulomb gauge are locally well-posed for initial data in $H^{1+\epsilon}$ for all $\epsilon > 0$. This builds on previous work by Klainerman and Machedon who proved the corresponding result for a model problem derived from the Maxwell-Klein-Gordon system by ignoring the elliptic features of the system, as well as cubic terms.

Affiliated with

Also associated with

No associations

Rating

Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 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 Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194203