Guido philippis (44 resultados)

Paperback. Condición: new. Paperback. In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier theorem on existence of optimal transport maps and of Caffarellis Theorem on Holder continuity of optimal maps. In the third and fourth chapter we start investigating Sobolev regularity of optimal transport maps, while in Chapter 5 we show how the above mentioned results allows to prove the existence of Eulerian solution to the semi-geostrophic equation. In Chapter 6 we prove partial regularity of optimal maps with respect to a generic cost functions (it is well known that in this case global regularity can not be expected). More precisely we show that if the target and source measure have smooth densities the optimal map is always smooth outside a closed set of measure zero. In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier theorem on existence of optimal transport maps and of Caffarellis Theorem on Holder continuity of optimal maps. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Paperback. Condición: Brand New. 2013 edition. 190 pages. 9.25x6.00x0.75 inches. In Stock.

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Condición: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.

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Taschenbuch. Condición: Neu. Neuware - In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier' theorem on existence of optimal transport maps and of Caffarelli's Theorem on Holder continuity of optimal maps. In the third and fourth chapter we start investigating Sobolev regularity of optimal transport maps, while in Chapter 5 we show how the above mentioned results allows to prove the existence of Eulerian solution to the semi-geostrophic equation. In Chapter 6 we prove partial regularity of optimal maps with respect to a generic cost functions (it is well known that in this case global regularity can not be expected). More precisely we show that if the target and source measure have smooth densities the optimal map is always smooth outside a closed set of measure zero.…

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Softcover. Condición: Gut. 1st ed. 2021. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03736 9783030657987 Sprache: Englisch Gewicht in Gramm: 550.

Paperback. Condición: New. 1st ed. 2021. This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications - From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro.Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.…

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Condición: New. Essentially self-contained account of the known regularity theory of optimal maps in the case of quadratic cost Presents proofs of some recent results like Sobolev regularity and Sobolev stability for optimal maps and their applications too the se.

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Condición: New. pp. 190 2013th edition.

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Paperback. Condición: Brand New. 144 pages. 9.25x6.10x0.43 inches. In Stock.

Paperback. Condición: Brand New. 166 pages. 7.01x0.55x9.92 inches. In Stock.

Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school 'Geometric Measure Theory and Applications - From Geometric Analysis to Free Boundary Problems' which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro.Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.…

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Condición: As New. Unread book in perfect condition.