Results 61 to 70 of about 16,811 (181)

Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]

open access: yes, 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
core   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte 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

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

open access: yesFortschritte 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

Riemann-Hilbert approach for the integrable nonlocal nonlinear Schr\"odinger equation with step-like initial data

open access: yesVisnik 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  

A general framework for solving Riemann-Hilbert problems\ud numerically

open access: yes, 2010
A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem.
Olver, Sheehan
core  

A Hilbert Boundary Value Problem for Generalised Cauchy-Riemann Equations

open access: yes, 2017
We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations.
Tarkhanov, Nikolai Nikolaevich   +1 more
core   +1 more source

Impact of Quantum Gravity on the UV Sensitivity of Extremal Black Holes

open access: yesFortschritte 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

Crack Propagation in the Human Bone. Mode I of Fracture

open access: yesAnalele 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
doaj   +1 more source

SOLVABILITY HOMOGENEOUS RIEMANN-HILBERT BOUNDARY VALUE PROBLEM WITH SEVERAL POINTS OF TURBULENCE

open access: yesПроблемы анализа, 2018
We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be H¨older-continuous everywhere on the unit circle excluding a finite set of points.
Fatykhov A . Kh ., Shabalin P . L .
doaj   +1 more source

The “Good” Boussinesq Equation: a Riemann-Hilbert Approach

open access: yes, 2022
We develop an inverse scattering transform formalism for the “good” Boussinesq equation on the line. Assuming that the solution exists, we show that it can be expressed in terms of the solution of a 3 × 3 matrix Riemann-Hilbert problem.
Charlier, Christophe,, Lenells, Jonatan,
core   +1 more source

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