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Record Nr. |
UNINA9910309662103321 |
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Autore |
Ambrosio Luigi |
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Titolo |
Lectures on Elliptic Partial Differential Equations / / by Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi |
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Pubbl/distr/stampa |
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Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (X, 230 p.) |
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Collana |
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Lecture Notes (Scuola Normale Superiore) ; ; 18 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Calculus of variations |
Partial Differential Equations |
Calculus of Variations and Optimal Control; Optimization |
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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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Nota di contenuto |
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Variational aspects of some classes of elliptic problems -- Classical regularity theory for linear problems -- Interior regularity for nonlinear equations -- Regularity for systems -- Viscosity solutions -- Appendices - A. Some basic facts concerning Sobolev spaces -- B. Miscellaneous results in real and harmonic analysis -- C. Hausdorff measures -- D. Some tools from convex and nonsmooth analysis. |
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Sommario/riassunto |
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The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions. |
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