Results 91 to 100 of about 45,379 (233)
Riemann–Hilbert problem associated with Angelesco systems
Journal of Computational and Applied Mathematics, 2009 Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szegö-type functions. In the procedure, an approach from the Riemann–Hilbert problem plays a fundamental role.
Branquinho, Amílcar +2 more
openaire +5 more sources
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
europepmc +1 more source
Riemann-Hilbert problem for the Moisil-Teodorescu system in multiple connected domains
Electronic Journal of Differential Equations, 2016 In this article we obtain a new integral representation of the general solution of the Moisil-Teodorescu system in a multiply connected domain. Also we give applications of this representation to Riemann-Hilbert problem.
Viktor A. Polunin, Alexandre P. Soldatov
doaj
Asymptotic representation theory and Riemann — Hilbert problem [PDF]
, 2007 We show how the Riemann-Hilbert problem can be used to compute correlation kernels for determinantal point processes arising in different models of asymptotic combinatorics and representation theory. The Whittaker kernel and the discrete Bessel kernel are computed as examples.
openaire +2 more sources
Lietuvos Matematikos Rinkinys, 1997 For Moisil–Theodoresco system with junior members a problem of new type, called Riemann–Hilbert problem with discontinuous coefficients, is considered. Under certain conditions this problem is proved to have Fredholm property for the mentioned system.
Rima Matiukaitė
doaj +1 more source
Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem
, 1999 In this paper, we take the first step towards an extension of the nonlinear steepest descent method of Deift, Its and Zhou to the case of operator Riemann-Hilbert problems.
Kamvissis, Spyridon
core +1 more source
A degeneration of two-phase solutions of focusing NLS via\n Riemann-Hilbert problems [PDF]
, 2014 Marco Bertola, Pietro Giavedoni
openalex +1 more source
On the Riemann-Hilbert Problems
, 1998 We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle.
openaire +2 more sources
Results in PhysicsIn this article, a time-varying coefficient modified nonlinear Schrödinger equation (tvcmNLSE) with non-zero boundary conditions (NZBCs) at infinity, phase term of which contains time-varying coefficients, is proposed to describe the nonlinear ...
Xiuyan Wei, Yinan Chen, Sheng Zhang
doaj +1 more source
Degenerate Riemann–Hilbert–Birkhoff problems, semisimplicity, and convergence of WDVV-potentials [PDF]
, 2021 Giordano Cotti
openalex +1 more source