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Generalized J-integral – mathematical foundation
Boundary Value ProblemsThis article describes the mathematics for building the foundations of the theory of the Generalized J-integral (GJ-integral) in various variational problems defined on D that gives the shape derivative on singular points such as boundaries, cracks ...
Kohji Ohtsuka
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Two theorems of Josefson-Nissenzweig type for Fréchet spaces
, 1993 We characterize the Fréchet-Montel (respectively, Fréchet-Schwartz) spaces by sequences in their dual spaces.
J. Bonet, M. Lindström, M. Valdivia
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Early-reverberation imaging functions for bounded elastic domains
Acta AcusticaFor the ultrasonic inspection of bounded elastic structures, finite-duration imaging functions are derived in the Fourier–Laplace domain, where efficient computational tools exist for solving problems in linear elasticity.
Ducasse Éric +2 more
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The first fundamental theorem of calculus for functions defined on wasserstein space
We establish an analogue of the first fundamental theorem of calculus for functions defined on the Wasserstein space of probability measures. Precisely, we show that if a function on the Wasserstein space is sufficiently regular in the sense of the ...
Erny, Xavier
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TROPICAL FRÉCHET MEANS Tropical Fréchet Means / Lin, Bo (Rights reserved) (-
Monod, Anthea +4 more
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, 2005 (Arhangel’skii, 1999) A Hausdorff topological space X is called κ-Fréchet Urysohn if for every open subset A of X and every x ∈ A there exists a sequence of points of A converging to x.
Chuan Liu, Lewis D. Ludwig
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On a problem of Nogura about the product of Fréchet-Urysohn $\langle \alpha_4\rangle$-spaces
, 1999 summary:Assuming Martin's Axiom, we provide an example of two Fréchet-Urysohn $\langle\alpha_4\rangle$-spaces, whose product is a non-Fréchet-Urysohn $\langle\alpha_4\rangle$-space.
Costantini, Camillo
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A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold [PDF]
This paper shows how to use the shooting method, a classical numerical algorithm for solving boundary value problems, to compute the Riemannian distance on the Stiefel manifold $ \mathrm{St}(n,p) $, the set of $ n \times p $ matrices with orthonormal ...
Sutti, Marco
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Об аналитических функциях двух комплексных переменных, являющихся парааналитическими
, 1957 [Fréchet Maurice; Фреше Морис]French.
Fréchet, Maurice
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TRAITÉ DU CALCUL DES PROBABILITÉS ET DE SES APPLICATIONS, T. 1, LES PRINCIPES DE LA THÉORIE DES PROBABILITÉS, FASC. 3, RECHERCHES THÉORIQUES MODERNES SUR LE CALCUL DES PROBABILITÉS, 1.
Fréchet, Maurice, Borel, Émile
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