Variational Methods for Discontinuous Structures (Progress in Nonlinear Differential Equations and Their Applications)

Raul Serapioni, Franco Tomarelli, eds.

ISBN 10: 3764352736 / ISBN 13: 9783764352738

Editore: Birkhauser Basel, 1996

First edition, first printing, 204 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1322685

Riassunto:

In recent years many researchers in material science have focused their attention on the study of composite materials, equilibrium of crystals and crack distribution in continua subject to loads. At the same time several new issues in computer vision and image processing have been studied in depth. The understanding of many of these problems has made significant progress thanks to new methods developed in calculus of variations, geometric measure theory and partial differential equations. In particular, new technical tools have been introduced and successfully applied. For example, in order to describe the geometrical complexity of unknown patterns, a new class of problems in calculus of variations has been introduced together with a suitable 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.

Contenuti: Movimenti di partizioni.- The crystalline algorithm for computing motion by curvature.- Uses of elliptic approximations in computer vision.- A Kanisza programme.- A second order model in image segmentation: Blake & Zisserman functional.- Optimal approximation by piecewise constant functions.- Indefinite superlinear elliptic problems.- On the regularity of the edge set of Mumford-Shah minimizers.- Capacity and Dirichlet problems in varying domains.- General growth conditions and regularity.- Geodesic lines in metric spaces.- Flow by mean curvature of surfaces of any codimension.- Functions of bounded variation over nonsmooth manifolds and generalized curvatures.- Remarks on a numerical study of convexity, quasi-convexity, and rank-one convexity.- Homogeneous fractal spaces.- Variational techniques for problems in material science.- Magnetoelastic interactions.- Contributors.- List of participants.

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Titolo: Variational Methods for Discontinuous ...
Casa editrice: Birkhauser Basel
Data di pubblicazione: 1996
Legatura: Rilegato
Condizione: Fine