Singular and tangent slit solutions to the Loewner equation

Details Singular and tangent slit solutions to the Loewner equation Singular and tangent slit solutions to the Loewner equation

2007-08-08

arxiv.org/abs/0708.1048v2

Mathematics

Complex Variables

8 pages

Scientific paper

We consider the Loewner differential equation generating univalent maps of the unit disk (or of the upper half-plane) onto itself minus a single slit. We prove that the circular slits, tangent to the real axis are generated by H\"older continuous driving terms with exponent 1/3 in the Loewner equation. Singular solutions are described, and the critical value of the norm of driving terms generating quasisymmetric slits in the disk is obtained.

Affiliated with

Also associated with

No associations

Rating

Singular and tangent slit solutions to the Loewner equation 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 Singular and tangent slit solutions to the Loewner equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular and tangent slit solutions to the Loewner equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-215469