Results 171 to 180 of about 94,442 (230)

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
openaire   +1 more source

A two-component modified Korteweg–de Vries equation: Riemann–Hilbert problem and multi-soliton solutions

International Journal of Computational Mathematics, 2020
In this paper, the inverse scattering transform of a two-component modified Korteweg–de Vries equation is under investigation, which is one of the important nonlinear models in mathematics and physics.
Xue-Wei Yan
semanticscholar   +1 more source

Nonlinear Riemann ‐ Hilbert Problems without Transversality

Mathematische Nachrichten, 1997
AbstractNonlinear Riemann ‐ Hilbert problems (RHP) generalize two fundamental classical problems for complex analytic functions, namely: 1. the conformal mapping problem, and 2. the linear Riemann ‐ Hilbert problem. This paper presents new results on global existence for the nonlinear (RHP) in doubly connected domains with nonclosed restriction curves ...
Efendiev, M. A., Wendland, Wolfgang L.
openaire   +2 more sources

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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Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

, 1999
: We showed in Part I that the Hopf algebra ℋ of Feynman graphs in a given QFT is the algebra of coordinates on a complex infinite dimensional Lie group G and that the renormalized theory is obtained from the unrenormalized one by evaluating at ɛ= 0 the ...
A. Connes, D. Kreimer
semanticscholar   +1 more source

The Lauricella hypergeometric function , the Riemann–Hilbert problem, and some applications

Russian Mathematical Surveys, 2018
The problem of analytic continuation is considered for the Lauricella function , a generalized hypergeometric functions of complex variables. For an arbitrary a complete set of formulae is given for its analytic continuation outside the boundary of the ...
S. I. Bezrodnykh
semanticscholar   +1 more source

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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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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Nonlinear Riemann-Hilbert Problems and Boundary Interpolation

Computational Methods and Function Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Semmler, Gunter, Wegert, Elias
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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