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Properties of the solutions to the Monge–Ampère equation

✍ Scribed by Liliana Forzani; Diego Maldonado


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
261 KB
Volume
57
Category
Article
ISSN
0362-546X

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The Monge–Ampère equation: Various forms
✍ V. Zheligovsky; O. Podvigina; U. Frisch 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 629 KB

We present three novel forms of the Monge-Ampère equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The central role in this paper is played by our Fourier integral form, for which we establish positivity and sharp bound proper