Results 71 to 80 of about 45,379 (233)
Electronic Journal of Differential Equations, 2013 In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. First we show its well-posedness. Then we give the representation of
Guo-Chun Wen
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The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions
Abstract and Applied Analysis, 2019 The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the ...
Siqi Xu
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Impact of Quantum Gravity on the UV Sensitivity of Extremal Black Holes
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT Recent work has revealed that extremal Kerr black holes may exhibit a sensitivity to higher‐derivative corrections to Einstein's equations, displaying singularities in the tidal forces at the horizon. However, in a purely gravitational context, this “ultraviolet sensitivity” translates into a strong dependence on the Wilson coefficients in the
Francesco Del Porro +2 more
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$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the present work the space $L_{p;r} $ which is continuously embedded into $L_{p} $ is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
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Error Estimates for the Averaging of the Riemann–Hilbert Problem for a System of n-Beltrami Equations [PDF]
, 2021 Магомед Магомедалиевич Сиражудинов +1 more
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Lax equations, factorization and Riemann–Hilbert problems
Portugaliae Mathematica, 2007 The paper deals with the problem of existence and calculation of solutions to Lax equations that define finite-dimensional integrable systems. The method presented in the paper is based on Wiener–Hopf factorization and related Riemann–Hilbert problems on Riemann surfaces. The idea behind the method was first proposed by Semenov–Tian–Shansky but, to the
Câmara, M. Cristina +2 more
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The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
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Long-Time Asymptotics of a Three-Component Coupled mKdV System
Mathematics, 2019 We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4 × 4 matrix spectral problem. An integrable coupled mKdV hierarchy with three potentials is first generated. Based
Wen-Xiu Ma
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Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero‐sum families consisting of “nearly unit” vectors.
Gergely Ambrus, Rainie Heck
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Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
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