Results 211 to 220 of about 72,141 (252)

Riemann-Hilbert-Probleme

2005
Die Randwertaufgaben fur die Cauchy-Riemannschen Differentialgleichungen sind einerseits grundlegend fur viele Anwendungen, zum anderen enthullen sie tiefe, uberraschende Zusammenhange zwischen topologischen Invarianten und algebraischen Invarianten stetiger linearer Abbildungen.
Wolfgang L. Wendland, Olaf Steinbach
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Riemann-Hilbert problems

2016
In his famous dissertation from 1851, Bernhard Riemann (1826–1866) formulated the following problem: In a given bounded domain of the complex plane, determine a holomorphic function, if a relation is prescribed between the boundary values of its real part and its imaginary part. In the case of a linear relation this problem was first considered in 1904
Klaus Gürlebeck, Klaus Habetha, Wolfgang Sprößig   +2 more
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On the dispersionless Davey–Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann–Hilbert problem for dDS-II system

Letters in Mathematical Physics, 2018
In this paper, the semiclassical limit of Davey–Stewartson system is studied. It shows that the dispersionless limited integrable system of hydrodynamic type, which is defined as dDS (dispersionless Davey–Stewartson) system, arises from the commutation ...
G. Yi
semanticscholar   +1 more source

ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS

Analysis and Applications, 2008
Let Γ be a piecewise smooth contour in ℂ, which could be unbounded and may have points of self-intersection. Let V(z, N) be a 2 × 2 matrix-valued function defined on Γ, which depends on a parameter N. Consider a Riemann–Hilbert problem for a matrix-valued analytic function R(z, N) that satisfies a jump condition on the contour Γ with the jump matrix V(
Qiu, W.-Y., Wong, R.
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Separation Principles and Riemann-Hilbert Problems

Computational Methods and Function Theory, 2003
Let \(w_\pm\) be the holomorphic functions on the unit disk \(D\subset \mathbb{C}\) and let \(M_t=\{x+if(t,x)\},\;x\in R,\;t\in\partial D\) where \(f(t,x)\) is real-valued. For a given subset \(A\) in the Hardy space \(H^1\) denote by \(A_+=\{w_+\in A, v_+(t)\geq f(t,u_+(t))\;a.e.\;on\;\partial D\}\) and \(A_-=\{w_-\in A, v_-(t)\geq f(t,u_-(t))\;a.e ...
Semmler, Gunter, Wegert, Elias
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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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Riemann‐Hilbert problem and matrix discrete Painlevé II systems

Studies in applied mathematics (Cambridge), 2019
Matrix Szegő biorthogonal polynomials for quasi‐definite matrices of Hölder continuous weights are studied. A Riemann‐Hilbert problem is uniquely solved in terms of the matrix Szegő polynomials and its Cauchy transforms.
G. A. Cassatella-Contra, Manuel Mañas
semanticscholar   +1 more source

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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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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On the Riemann–Hilbert Problem in Dimension 4

Journal of Dynamical and Control Systems, 2000
The author treats the following version of the Riemann-Hilbert problem (RHP): Which representations \(\chi :\pi _1({\mathbb CP}^1\backslash \{ a_1,\ldots ,a_n\}) \rightarrow GL(p,{\mathbb C})\) can be realized as monodromy representations of Fuchsian systems (i.e.
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