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Record Nr. |
UNINA9910254091903321 |
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Autore |
Lindqvist Peter |
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Titolo |
Notes on the Infinity Laplace Equation / / by Peter Lindqvist |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (73 p.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Differential equations, Partial |
Optical data processing |
Computer science - Mathematics |
Differential equations |
Partial Differential Equations |
Image Processing and Computer Vision |
Computational Science and Engineering |
Ordinary Differential Equations |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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1 Introduction -- 2 Preliminaries -- 3 Variational Solutions -- 4 Viscosity Solutions -- 5 An Asymptotic Mean Value Formula -- 6 Comparison with Cones -- 7 From the Theory of Viscosity Solutions -- 8 Uniqueness of Viscosity Solutions -- 9 Tug-of-War -- 10 The Equation 1v = F. |
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Sommario/riassunto |
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This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity.Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values. |
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