Results 71 to 80 of about 16,815 (181)
Riemann-Hilbert problems for multiple orthogonal polynomials [PDF]
, 2001 In the early nineties, Fokas, Its and Kitaev observed that there is a natural Riemann-Hilbert problem (for 2x2 matrix functions) associated which a system of orthogonal polynomials. This Riemann-Hilbert problem was later used by Deift et al.
Kuijlaars, Arno +2 more
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Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2008 Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir +2 more
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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
doaj +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Riemann-Hilbert analysis for a Nikishin system [PDF]
, 2018 In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals.
López Lagomasino, Guillermo +1 more
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2018 We study the Cauchy problem for the integrable nonlocal nonlinear Schr\"odinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0 \] with a step-like initial data: $q(x,0)=o(1)$ as $x\to-\infty$ and $q(x,0)=A+o(1)$ as $x\to\infty ...
Ya. Rybalko, D. G. Shepelsky
doaj
Crack Propagation in the Human Bone. Mode I of Fracture
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The problem of crack propagation in human bone is studied. We for- mulate and solve the mathematical problem for the pre-stressed crack in Mode I of classical fracture.
Craciun E. M. +3 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
The Riemann-Hilbert problem approach to the short pulse equation [PDF]
, 2022 We consider the adaptation of the inverse scattering transform method, in the form of a Riemann-Hilbert factorization problem, to the study of the Cauchy problem for the shortpulse equation u_xt = u + (1/6)(u^3)_ xx. It is shown that the solution of this
Zielinski, Lech +2 more
core
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
wiley +1 more source