On solutions to the Ginzburg-Landau equations in higher dimensions

Details On solutions to the Ginzburg-Landau equations in higher dimensions On solutions to the Ginzburg-Landau equations in higher dimensions

2003-02-06

arxiv.org/abs/math/0302070v2

Mathematics

Differential Geometry

Scientific paper

We establish a glueing theorem for the Ginzburg-Landau equations in dimension $n > 2$. To this end, we consider a nondegenerate minimal submanifold of codimension 2, and construct a one-parameter family of solutions to the Ginzburg-Landau equations such that the energy density concentrates near this submanifold. The proof is based on a construction of suitable approximate solutions and the implicite function theorem.

Affiliated with

Also associated with

No associations

Rating

On solutions to the Ginzburg-Landau equations in higher 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 On solutions to the Ginzburg-Landau equations in higher dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On solutions to the Ginzburg-Landau equations in higher dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99760