A nonlinear stationary phase method for oscillatory Riemann-Hilbert problems

Mathematics – Classical Analysis and ODEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

78 pages, referee's corrections and suggestions incorporated, to appear in IMRN

Scientific paper

We study the asymptotic behavior of oscillatory Riemann-Hilbert problems arising in the AKNS hierarchy of integrable nonlinear PDE's. Our method is based on the Deift-Zhou nonlinear steepest descent method in which the given Riemann-Hilbert problem localizes to small neighborhoods of stationary phase points. In their original work, Deift and Zhou only considered analytic phase functions. Subsequently Varzugin extended the Deift-Zhou method to a certain restricted class of non-analytic phase functions. In this paper, we extend Varzugin's method to a substantially more general class of non-analytic phase functions. In our work real variable methods play a key role.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A nonlinear stationary phase method for oscillatory Riemann-Hilbert problems 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 A nonlinear stationary phase method for oscillatory Riemann-Hilbert problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A nonlinear stationary phase method for oscillatory Riemann-Hilbert problems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-18736

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.