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Gisella Croce, Catherine Lacour, Gérard Michaille (2009)
ESAIM: Control, Optimisation and Calculus of Variations
We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an -neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
Gisella Croce, Catherine Lacour, Gérard Michaille (2008)
ESAIM: Control, Optimisation and Calculus of Variations
We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an ε-neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
Jan Rataj (1990)
Časopis pro pěstování matematiky
Gerhard Winkler (1980)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Peter Gänssler (1971)
Mathematica Scandinavica
Giuseppina Barbieri (2019)
Kybernetika
A version of Dieudonné theorem is proved for lattice group-valued modular measures on lattice ordered effect algebras. In this way we generalize some results proved in the real-valued case.
A. Janssen (1980)
Semigroup forum
Henryk Gzyl, Lázaro Recht (2006)
Revista Matemática Iberoamericana
In this note we provide a natural way of defining exponential coordinates on the class of probabilities on the set Ω = [1,n] or on P = {p = (p1, ..., pn) ∈ Rn| pi > 0; Σi=1n pi = 1}. For that we have to regard P as a projective space and the exponential coordinates will be related to geodesic flows in Cn.
Henryk Gzyl, Lázaro Recht (2006)
Revista Matemática Iberoamericana
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
Josef Štěpán (1984)
Commentationes Mathematicae Universitatis Carolinae
A. Andryszczak, Ireneusz Recƚaw (1993)
Acta Universitatis Carolinae. Mathematica et Physica
Petr Dostál (2002)
Acta Universitatis Carolinae. Mathematica et Physica
Hüngerbuhler, Norbert (1997)
The New York Journal of Mathematics [electronic only]
Marian Nowak (2016)
Open Mathematics
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E) be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β. We develop the Riemman-Stieltjes-type Integral representation theory of (β, || · ||F) -continuous operators T : Cb(X, E) → F with respect to the representing Borel operator measures. For X being a k-space, we characterize strongly bounded (β, || · ||F)-continuous operators T : Cb(X, E) → F. As an application, we...
Alice Fiaschi (2009)
ESAIM: Control, Optimisation and Calculus of Variations
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
Alice Fiaschi (2008)
ESAIM: Control, Optimisation and Calculus of Variations
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
Giuseppina Barbieri, Francisco J. García-Pacheco, Daniele Puglisi (2014)
Studia Mathematica
Wolfgang Adamski (1977)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Freddy Delbaen (1999)
Séminaire de probabilités de Strasbourg
Giuseppina Barbieri (2009)
Czechoslovak Mathematical Journal
We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting.
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