Titlebook: Variational Methods for Discontinuous Structures; Applications to imag Raul Serapioni,Franco Tomarelli Conference proceedings 1996 Birkh?us

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Functions of Bounded Variation over Non-Smooth Manifolds and Generalized Curvatures,The aim of this paper is to describe some recent attempts to introduce a reasonable notion of a function of bounded variation on a non-smooth manifold. This investigation is motivated by.As non-smooth manifolds we choose to take rectifiable sets and rectifiable currents. We shall use currents and integration by parts as a basic tool.

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Remarks on a Numerical Study of Convexity, Quasiconvexity, and Rank One Convexity,In the calculus of variations, the notions of convexity, quasiconvexity, and rank one convexity play an important role. In this paper we will discuss some numerical results concerning these notions.

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Homogeneous Fractal Spaces,Diffusion processes on special classes of fractal sets, and related self-adjoint generators, have been studied in recent years by several authors, both by probabilistic and analytic methods. In particular, for the so-called Sierpinski gasket the construction of the “Brownian motion” and “Laplace” operator has been done by [Kul], [BP], [Ki], [FS].

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Variational Techniques for Problems in Materials Science,In recent years there has been a remarkable progress in the mathematical understanding of variational principles for unstable materials phenomena. In this paper some of the techniques developed are outlined.

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Conference proceedings 1996le functional setting: the free-discontinuity problems and the special BV and BH functions. The conference held at Villa Olmo on Lake Como in September 1994 spawned successful discussion of these topics among mathematicians, experts in computer science and material scientists.

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Uses of Elliptic Approximations in Computer Vision, shows a noisy version obtained from the image in Figure la by adding Gaussian noise. The signal-to-noise ratio (i.e. the ratio between the standard deviation of the image with noise removed and the standard deviation of the noise) is 1: 4. The problem is to recover the original objects.

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1421-1750 n September 1994 spawned successful discussion of these topics among mathematicians, experts in computer science and material scientists.978-3-0348-9959-8978-3-0348-9244-5Series ISSN 1421-1750 Series E-ISSN 2374-0280

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nce — territorial states, capitalist cities, supranational church, parliamentary government, the conjugal family, a high level of education — and one finds its origin in the middle ages. An outer part of China’s environment had therefore undergone a major mutation.

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