Results 201 to 210 of about 45,379 (233)

Riemann–Hilbert Problem and Matrix Biorthogonal Polynomials

2021
Recently the Riemann–Hilbert problem with jumps supported on appropriate curves in the complex plane has been presented for matrix biorthogonal polynomials, in particular non–Abelian Hermite matrix biorthogonal polynomials in the real line, understood as those whose matrix of weights is a solution of a Sylvester type Pearson equation with coefficients ...
Branquinho, Amílcar, Foulquié-Moreno, Ana, Mañas-Baena, Manuel   +2 more
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Asymptotics of oscillatory Riemann–Hilbert problems

Journal of Mathematical Physics, 1996
A classical method of stationary phase for oscillatory integrals is generalized to oscillatory Riemann–Hilbert problems of the kind arising in the theory of integrable nonlinear equations. The proposed approach is developed for the phase with N first-order stationary points, and the final formulas can immediately be applied to the problem of long-time ...
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On Riemann-Hilbert Problems in Circle Packing

Computational Methods and Function Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wegert, Elias, Bauer, David
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Explicit Riemann‐Hilbert problems in Hardy spaces

Mathematische Nachrichten, 2011
AbstractThis paper is concerned with boundary value problems for holomorphic functions in the unit disc, where the boundary condition is given by an explicit equation for the real and imaginary part of the solution on the unit circle. Relaxing the smoothness assumptions in well‐known results for problems of this type we can still prove the solvability ...
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The Riemann-Hilbert problem

2016
In Section 2.2 we have seen how important it is, at an irregular singular point, to use an appropriate formal fundamental solution to define generalized monodromy data.
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Riemann–Hilbert Problems on a Cut Plane

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Riemann–Hilbert problems

2023
Richard Beals, Roderick S. C. Wong
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Orientable and nonorientable Riemann-Hilbert problems

2001
We introduce orientable and nonorientable Riemann-Hilbert problems. We prove that the number of connected components of solutions differs significantly for the orientable and nonorientable cases; that is, countably many to two, respectively. Moreover we analyze CW-structures of connected components.
Messoud A. Efendiev, Wolfgang L. Wendland   +1 more
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Multi-component generalized Gerdjikov–Ivanov integrable hierarchy and its Riemann–Hilbert problem

Nonlinear Analysis: Real World Applications, 2022
Tongshuai Liu
exaly  

Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations

Studies in Applied Mathematics, 2022
Yuan Li, Shou-Fu Tian
exaly