Mathematics – Analysis of PDEs
Scientific paper
2006-07-20
Mathematics
Analysis of PDEs
20 pages
Scientific paper
Following an approach of the second author for conformally invariant variational problems in two dimensions, we show in four dimensions the existence of a conservation law for fourth order systems, which includes both intrinsic and extrinsic biharmonic maps. With the help of this conservation law we prove the continuity of weak solutions of this system. Moreover we use the conservation law to derive the existence of a unique global weak solution of the extrinsic biharmonic map flow in the energy space.
Lamm Tobias
Riviere Tristan
No associations
LandOfFree
Conservation laws for fourth order systems in four 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 Conservation laws for fourth order systems in four dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conservation laws for fourth order systems in four dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-79682