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Geometric methods for solving Codazzi and Monge-Ampère equations

✍ Scribed by U. Pinkall; A. Schwenk-Schellschmidt; U. Simon

Publisher
Springer
Year
1994
Tongue
English
Weight
581 KB
Volume
298
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

A symmetrization result for Monge–Ampère
A symmetrization result for Monge–Ampère type equations
✍ Barbara Brandolini; Cristina Trombetti 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB

## Abstract In this paper we prove some comparison results for Monge–Ampère type equations in dimension two. We also consider the case of eigenfunctions and we derive a kind of “reverse” inequalities. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

A Monge-Ampère enhancement for semi-Lagr
A Monge-Ampère enhancement for semi-Lagrangian methods
✍ Jean-François Cossette; Piotr K. Smolarkiewicz 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 924 KB

Demanding the compatibility of semi-Lagrangian trajectory schemes with the fundamental Euler expansion formula leads to the Monge-Ampère (MA) nonlinear second-order partial differential equation. Given standard estimates of the departure points of flow trajectories, solving the associated MA problem