Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces

Details Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces

2002-09-24

arxiv.org/abs/math/0209320v1

Mathematics

Complex Variables

18 pages

Scientific paper

Let S be a bordered Riemann surface with genus g and m boundary components.
For a smooth family of smooth Jordan curves in the complex plane parametrized
by the boundary of S and such that all curves contain 0 in their interior we
show that there exists a holomorphic solution of the corresponding
Riemann-Hilbert problem with at most 2g+m-1 zeros on S.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces 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 Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612606