Multidimensional analogues of the Riemann–Hilbert boundary value problem [PDF]
Mathematical Modelling and Analysis, 2007 Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
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A Riemann–Hilbert problem for biorthogonal polynomials [PDF]
, 2005 We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann–Hilbert problem. Our Riemann–Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and ...
McLaughlin, K.T.-R., Kuijlaars, A.B.J.
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The Riemann–Hilbert problem for certain poly domains and its connection to the Riemann problem [PDF]
, 2008 The Riemann–Hilbert problem is studied for holomorphic functions in higher dimensional poly domains and the explicit constructive solution is given. The connection between the Riemann problem and the Riemann–Hilbert problem for poly domains is presented ...
Alip Mohammed, Mohammed, Alip
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Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]
, 2006 In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
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Riemann–Hilbert problem and matrix biorthogonal polynomials [PDF]
, 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 ...
Amílcar Branquinho +5 more
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The relationship between a strip Wiener–Hopf problem and a line Riemann–Hilbert problem [PDF]
, 2015 In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with the Riemann–Hilbert factorization. This allows to establish the exact relationship between the two types of factorization.
Kisil, Anastasia V.; id_orcid
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The Riemann-Hilbert problem and the generalized Neumann kernel [PDF]
, 2005 This paper presents two new Fredholm integral equations associated to the interior and the exterior Riemann-Hilbert problems in simply connected regions with smooth boundaries. The kernel of these integral equations is the generalized Neumann kernel. The
Nasser, M.M.S. +7 more
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A Riemann–Hilbert problem for uncoupled BPS structures [PDF]
, 2019 We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from Donaldson–Thomas theory I”).
Barbieri, A., Anna Barbieri
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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The Riemann Hilbert problem for generalized Q-holomorphic functions [PDF]
, 2010 In this work, the classical Riemann Hilbert boundary value problem is extended to generalized Q-holomorphic ...
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