The Monge-Ampère Equation [[electronic resource] /] / by Cristian E. Gutiérrez |
Autore | Gutiérrez Cristian E |
Edizione | [2nd ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
Descrizione fisica | 1 online resource (XIV, 216 p. 6 illus., 3 illus. in color.) |
Disciplina | 515.353 |
Collana | Progress in Nonlinear Differential Equations and Their Applications |
Soggetto topico |
Partial differential equations
Differential geometry Mathematical physics Partial Differential Equations Differential Geometry Mathematical Applications in the Physical Sciences |
ISBN | 9783319433745 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Generalized Solutions to Monge-Ampère Equations -- Uniformly Elliptic Equations in Nondivergence Form -- The Cross-sections of Monge-Ampère -- Convex Solutions of detDu=1 in Rn -- Regularity Theory for the Monge-Ampère Equation -- W^2,p Estimates for the Monge-Ampère Equation -- The Linearized Monge-Ampère Equation -- Interior Hölder Estimates for Second Derivatives -- References -- Index. |
Record Nr. | UNINA-9910135973803321 |
Gutiérrez Cristian E | ||
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Optimal Transport and Applications to Geometric Optics [[electronic resource] /] / by Cristian E. Gutiérrez |
Autore | Gutiérrez Cristian E |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (140 pages) |
Disciplina | 519.6 |
Collana | SpringerBriefs on PDEs and Data Science |
Soggetto topico |
Optimització matemàtica
Mathematical optimization Operations research Management science Geometrical optics Wave theory of light Differential equations Optimization Operations Research, Management Science Classical Optics, Geometric and Wave optics Differential Equations |
Soggetto genere / forma | Llibres electrònics |
ISBN | 981-9948-67-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1 Introduction -- Chapter 2 The normal mapping or subdifferential.-Chapter 3 Sinkhorn’s theorem and application to the distribution problem -- Chapter4 Monge-Kantorovich distance -- Chapter 5 Multivalued measure preserving maps -- Chapter 6 Kantorovich Dual Problem -- Chapter 7 Brenier and Aleksandrov solutions -- Chapter 8 Cyclical monotonicity -- Chapter 9 Quadratic cost -- Chapter 10 Brenier ’s Polar Factorization Theorem -- Chapter 11 Benamou and Brenier formula -- Chapter 12 Snell’s law of refraction -- Chapter 13 Solution of the far field refractor problem < 1 -- Chapter 14 Proof of the Disintegration Theorem -- Chapter 15 Acknowledgements -- Chapter 16 References. |
Record Nr. | UNINA-9910770271403321 |
Gutiérrez Cristian E | ||
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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