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General solutions of the Monge-Ampère equation in n-dimensional space

✍ Scribed by D.B. Fairlie; A.N. Leznov


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
240 KB
Volume
16
Category
Article
ISSN
0393-0440

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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