On solvability of nonlinear partial differential systems of any order in the complex plane

Details On solvability of nonlinear partial differential systems of any order in the complex plane On solvability of nonlinear partial differential systems of any order in the complex plane

2011-09-15

arxiv.org/abs/1109.3325v2

Mathematics

Complex Variables

Scientific paper

We prove a general existence theorem for nonlinear partial differential systems of any order in one complex variable. A special case of first order contains a well-known theorem of Nijenhuis and Woolf concerning local existence of J-holomorphic curves on almost complex manifolds. As an application to differential geometry, we prove that non constant harmonic map always exists locally from a Riemann surface to a Riemannian manifold with a prescribed tangent vector at a given point.

Affiliated with

Also associated with

No associations

Rating

On solvability of nonlinear partial differential systems of any order in the complex plane 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 solvability of nonlinear partial differential systems of any order in the complex plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On solvability of nonlinear partial differential systems of any order in the complex plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673400