Results 271 to 280 of about 68,019 (304)

Potential at infinity of a polynomial image of the disk

Functional Analysis and Its Applications, 1999
Let \(q(t)= a_0t+\cdots+ a_nt^{n+1}\), \(a_0\neq 0\) real, be a polynomial univalent in the unit disc \(\Delta\). Let \(D= q(\Delta)\) and \(p(z)= \frac{1}{\pi} \int_D \frac{d\mu(\xi)}{z-\xi}\) be the potential of the domain \(D\). Then for large \(z\), \(p(z)= \frac{c_0}{z}+ \frac{c_1}{z^2} +\cdots+ \frac{c_n}{z^{n+1}}\) with \(c_0\neq 0\) real and ...
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On the infinities in the electric potential of unbounded charge distributions

European Journal of Physics, 2020
Abstract In every beginner electricity and magnetism course, a good teacher usually insists that if one has an infinite charged plate or an infinity charged wire, one must first calculate the electric field to find the potential difference between two space points by making a linear integral of the field.
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Potential infinity and the Church thesis

Fundam. Informaticae, 2007
Summary: In this paper we consider a ``mathematical'' proof of the Church Thesis. The proof is based on very weak assumptions about intuitive computability and the FM-representability theorem from [\textit{M. Mostowski}, Math. Log. Q. 47, No.~4, 513--523 (2001; Zbl 0992.03043)]. It develops and improves the argument mentioned in [\textit{M. Mostowski},
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Scattering Matrix for Magnetic Potentials with Coulomb Decay at Infinity

Integral Equations and Operator Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conserved quantities at spatial and null infinity: The Penrose potential

Physical Review D, 1990
We define a superpotential for energy-momentum and rotation momentum which is built out of the conformal tensor and a bivector. This superpotential is identified with that used by Penrose in his definition of quasilocal energy. It is applied to the definition of energy-momentum and rotation momentum at spatial and at null infinities.
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On bifurcation from infinity for S1-equivariant potential operators

Nonlinear Analysis: Theory, Methods & Applications, 1998
The author [same journal 23, 83-102 (1994; Zbl 0815.58027) and Topol. Methods Nonlinear Analysis 9, 383-417 (1997; Zbl 0891.55003)] established a degree theory for \(S^1\)-equivariant orthogonal maps. His aim in this article is to improve Rabinowitz' alternative (which was based on classical degree theory) by using a more powerful degree theory.
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Well-Posedness for Nonlinear Wave Equation with Potentials Vanishing at Infinity

Journal of Fourier Analysis and Applications, 2017
In this paper, the author proves a global well-posedness result in some scale-invariant weighted Besov spaces and Strichartz spaces for the nonlinear wave equation of the form \((\partial_t^2 -\Delta+a(t,x)\cdot\nabla)u =\bar\lambda |W u|^\alpha\), with data in \(\dot H^{1/2}\times \dot H^{-1/2}\) for \((t,x)\in \mathbb{R}^{1+n}\). Here, \(n\ge 3\), \(\
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A remark on the behaviour at infinity of the potential kernel

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1975
Berg, Christian, Forst, Gunnar
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ELEMENTARY INFINITY—THE THIRD TYPE OF INFINITY BESIDES POTENTIAL INFINITY AND ACTUAL INFINITY

Computational Intelligence, 2010
WUJIA ZHU, NINGSHENG GONG, GUOPING DU
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Potential at Infinity on Symmetric Spaces and Martin Boundary

1992
For simply connected Riemannian manifolds with negatively pinched curvature, the Martin compactification has recently been identified with the compactification by the sphere at infinity [A-S], [Anc]. Such a general result does not hold in general when the curvature is allowed to vanish, and even for the most computable case of riemannian symmetric ...
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