Results 101 to 110 of about 94,442 (230)

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, Fidalgo Prieto, Ulises, Moreno, Ana Pilar Foulquie   +2 more
openaire   +5 more sources

N-Soliton Solutions for the NLS-Like Equation and Perturbation Theory Based on the Riemann-Hilbert Problem

Symmetry, 2019
In this paper, a kind of nonlinear Schrödinger (NLS) equation, called an NLS-like equation, is Riemann–Hilbert investigated. We construct a 2 × 2 Lax pair associated with the NLS equation and combine the spectral analysis to formulate the Riemann–Hilbert
Yuxin Lin, Huanhe Dong, Yong Fang
semanticscholar   +1 more source

Building multi-BTZ black holes through Riemann-Hilbert problem

Journal of High Energy Physics
We construct a recently found class of non-BPS black hole solutions with asymptotically AdS 3 × S 3 × T 4 in type IIB supergravity, consisting of multiple BTZ black holes localized on an S 3, within the group theoretical framework of Breitenlohner and ...
Jun-ichi Sakamoto, Shinya Tomizawa
doaj   +1 more source

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

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Kurdistan Journal of Applied Research, 2017
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the ...
Shwan H. H. Al-Shatri, Karzan Wakil, Munira Ismail   +2 more
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

Solvability of some classes of singular integral equations of convolution type via Riemann–Hilbert problem

Journal of Inequalities and Applications, 2019
In this paper, we study methods of solution for some kinds of convolution type singular integral equations with Cauchy kernel. By means of the classical boundary value problems for analytic functions and of the theory of complex analysis, we deal with ...
Ping Li
semanticscholar   +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  

General Riemann-Hilbert problem with discontinuous coefficients for Moisil-Theodoresco system with junior members

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

A degeneration of two-phase solutions of focusing NLS via\n Riemann-Hilbert problems [PDF]

, 2014
Marco Bertola, Pietro Giavedoni
openalex   +1 more source