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Record Nr. |
UNINA9910146305403321 |
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Autore |
Braides Andrea |
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Titolo |
Approximation of free-discontinuity problems / / Andrea Braides |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer, , [1998] |
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©1998 |
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ISBN |
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Edizione |
[1st ed. 1998.] |
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Descrizione fisica |
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1 online resource (XIV, 154 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1694 |
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Disciplina |
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Soggetti |
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Functions of bounded variation |
Convergence |
Calculus of variations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (pages [145]-148) and index. |
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Nota di contenuto |
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Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation. |
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Sommario/riassunto |
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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. |
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