On the Approximation of Free Discontinuity Problems
Author | : Luigi Ambrosio |
Publisher | : |
Total Pages | : 14 |
Release | : 1990 |
Genre | : |
ISBN | : |
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Author | : Luigi Ambrosio |
Publisher | : |
Total Pages | : 14 |
Release | : 1990 |
Genre | : |
ISBN | : |
Author | : Andrea Braides |
Publisher | : Springer |
Total Pages | : 160 |
Release | : 2006-11-13 |
Genre | : Mathematics |
ISBN | : 3540687149 |
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.
Author | : Emilio Acerbi |
Publisher | : |
Total Pages | : 14 |
Release | : 1998 |
Genre | : |
ISBN | : |
Author | : Matteo Focardi |
Publisher | : |
Total Pages | : 22 |
Release | : 1999 |
Genre | : |
ISBN | : |
Author | : Matteo Focardi |
Publisher | : |
Total Pages | : 22 |
Release | : 1999 |
Genre | : |
ISBN | : |
Author | : Nicola Fusco |
Publisher | : Springer |
Total Pages | : 237 |
Release | : 2017-02-02 |
Genre | : Mathematics |
ISBN | : 8876425934 |
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.
Author | : Emilio Acerbi |
Publisher | : |
Total Pages | : 14 |
Release | : 1998 |
Genre | : |
ISBN | : |
Author | : Emilio Acerbi |
Publisher | : |
Total Pages | : 14 |
Release | : 1998 |
Genre | : |
ISBN | : |
Author | : Michel Chipot |
Publisher | : Elsevier |
Total Pages | : 631 |
Release | : 2006-08-08 |
Genre | : Mathematics |
ISBN | : 0080463827 |
This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics. Key features: - Written by well-known experts in the field- Self-contained volume in series covering one of the most rapid developing topics in mathematics - Written by well-known experts in the field- Self-contained volume in series covering one of the most rapid developing topics in mathematics
Author | : Luigi Ambrosio |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2000-01-24 |
Genre | : Mathematics |
ISBN | : 9783540648031 |
At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.