The Solution of a Certain Nonlinear Riemann-Hilbert Problem with an Application.
Abstract
The report shows that the nonlinear barrier equation F(+)(zeta)F(-)(zeta) + mu(zeta)(F(+)(zeta) + F(-)(zeta)) + sigma(zeta) = 0 can be solved in closed form provided mu(zeta), sigma(zeta) are Holder continuous and so related that signa(zeta) + S squared(zeta) + 2S(zeta)mu(zeta) = ((zeta)-alpha)(zeta-beta)) sup Kappa t squared(zeta) where s(zeta) and t(zeta) are rational functions and kappa = 0, or 1. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1971
- Accession Number
- AD0734147
Entities
People
- Arthur S. Peters
Organizations
- New York University