Results 231 to 240 of about 552,211 (279)

Homeomorphisms of Bounded Variation

Archive for Rational Mechanics and Analysis, 2007
The main result of the paper is that if \(\Omega, \Omega' \subset \mathbb R^2\) are open and \(f:\Omega \to \Omega'\) is a homeomorphism, then \(f\in BV_{loc}(\Omega,\mathbb R^2)\) if and only if \(f^{-1}\in BV_{loc}(\Omega',\mathbb R^2)\). It is shown that this result does not extend to the case of \(\mathbb R^n\) with \(n\geq 3\).
Stanislav Hencl, Pekka Koskela, Jani Onninen   +2 more
exaly   +2 more sources

Functions of Bounded Variation�and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
Andrea Cianchi, Nicola Fusco
exaly   +5 more sources

Variational bounds for the triton

Physical Review C, 1987
Variational bounds for the Reid soft core and Argonne V/sub 14/ potentials are extended through the J = 8 partial waves of those nucleon-nucleon forces using Faddeev wave functions calculated with the Jless than or equal to4 partial waves. We verify our previous conjecture that the additional components add roughly 10 keV to the binding energy, and ...
, Friar, , Gibson, , Payne
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Functions of bounded variation and polarization

Mathematische Nachrichten, 2009
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
openaire   +6 more sources

Are Natural Images of Bounded Variation?

SIAM Journal on Mathematical Analysis, 2001
Summary: The bounded variation assumption is the starting point of many methods in image analysis and processing. However, one common drawback of these methods is their inability to handle textures and small structures properly. Here we precisely show why natural images are incompletely represented by BV functions.
Yann Gousseau, Jean-Michel Morel
exaly   +2 more sources

Selections of Bounded Variation

Journal of Applied Analysis, 2004
The paper represents a survey of recent results obtained by the author. These results concern the problem of the existence of selectors wich inherit the properties of a multivalued mapping of one variable with compact values in a metric space. The properties considered are the boundedness of Jordan, essential or generalized variation, Lipschitz or ...
openaire   +1 more source

ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Mathematics of the USSR-Izvestiya, 1983
The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
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Simple Variational Bound to the Entropy

Physical Review, 1964
The following variational principle is obtained for the entropy $S(E)$ of a system with energy $E:S(E)\ensuremath{\geqq}\ensuremath{-}k \mathrm{ln}(\mathrm{Trace}{U}^{2})$ for all non-negative Hermitian density matrices $U$ with Trace $U=1$, Trace $HU=E$; $H$ is the Hamiltonian and $k$ is Boltzmann's constant.
openaire   +2 more sources

Functionals of Bounded Frechet Variation

Canadian Journal of Mathematics, 1949
In a series of papers which will follow this paper the authors will present a theory of functionals which are bilinear over a product A × B of two normed vector spaces A and B. This theory will include a representation theory, a variational theory, and a spectral theory.
Morse, Marston, Transue, William
openaire   +2 more sources