Results 51 to 60 of about 5,858,604 (175)
The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source
A Hilbert Boundary Value Problem for Generalised Cauchy-Riemann Equations
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
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El problema de Riemann-Hilbert [PDF]
El llamado problema de Riemann-Hilbert, o problema 21 de Hilbert, pertenece a la teoría de ecuaciones diferenciales ordinarias sobre el campo complejo. Concretamente pregunta si existe un sistema de ecuaciones fuchsianas con singularidades y monodromía ...
García Mayo, Mario
core
bk$b^k$‐Algebroids and the variety of foliation jets
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
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Weyl metrics and Wiener-Hopf factorization
We consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics in four space-time dimensions. We present, for the first time, a rigorous proof of the remarkable fact that the canonical Wiener-Hopf factorization of a matrix ...
P. Aniceto +3 more
doaj +1 more source
A Riemann–Hilbert approach to the Heun equation [PDF]
We describe the close connection between the linear system for the sixth Painlevé equation and the general Heun equation, formulate the Riemann–Hilbert problem for the Heun functions and show how, in the case of reducible monodromy, the Riemann–Hilbert ...
Dubrovin, B. +3 more
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Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments
This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
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This article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis.
P. L. Shabalin, R. R. Faizov
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Large-x Analysis of an Operator-Valued Riemann–Hilbert Problem
International audienceThe purpose of this paper is to push forward the theory of operator-valued Riemann-Hilbert problems and demonstrate their effectiveness in respect to the implementation of a non-linear steepest descent method a la Deift-Zhou.
Its, A. R. +3 more
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source

