Zobrazeno 1 - 10
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pro vyhledávání: '"Lewis, Roger T."'
In this paper, we prove that the distance function of an open connected set in $\mathbb R^{n+1}$ with a $C^{2}$ boundary is superharmonic in the distribution sense if and only if the boundary is {\em weakly mean convex}. We then prove that Hardy ineq
Externí odkaz:
http://arxiv.org/abs/1103.5429
Autor:
Lewis, Roger T.
In this paper we extend classical criteria for determining lower bounds for the least point of the essential spectrum of second-order elliptic differential operators on domains $\Omega\subset\R^n$ allowing for degeneracy of the coefficients on the bo
Externí odkaz:
http://arxiv.org/abs/1103.1098
We study the asymptotic behavior, as Planck's constant $\hbar\to 0$, of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $\mu\mathbf{B}(x)$ and an electric field. The magnetic field strength $\
Externí odkaz:
http://arxiv.org/abs/math-ph/9911013
Eigenvalue Estimates in the Semi-Classical Limit for Pauli and Dirac Operators with a Magnetic Field
Autor:
Evans, W. D., Lewis, Roger T.
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 1999 Jan 01. 455(1981), 183-217.
Externí odkaz:
https://www.jstor.org/stable/53411
Publikováno v:
In Journal of Functional Analysis 1 April 2012 262(7):3159-3185
Publikováno v:
Philosophical Transactions: Physical Sciences and Engineering, 1992 Jan . 338(1649), 113-144.
Externí odkaz:
https://www.jstor.org/stable/53904
Publikováno v:
Proceedings: Mathematical and Physical Sciences, 1993 Mar 01. 440(1910), 621-638.
Externí odkaz:
https://www.jstor.org/stable/52403
Autor:
Lewis, Roger T.
Publikováno v:
Transactions of the American Mathematical Society, 1977 Jul 01. 231(1), 167-178.
Externí odkaz:
https://www.jstor.org/stable/1997876
Autor:
Lewis, Roger T.
Publikováno v:
Transactions of the American Mathematical Society, 1982 Jun 01. 271(2), 653-666.
Externí odkaz:
https://www.jstor.org/stable/1998903
Autor:
Evans, W. D., Lewis, Roger T.
Publikováno v:
Transactions of the American Mathematical Society, 1986 Sep 01. 297(1), 197-222.
Externí odkaz:
https://www.jstor.org/stable/2000464