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Approximation of solutions of the Monge-Ampère equations by surfaces reduced to developable surfaces

✍ Scribed by L. B. Pereyaslavskaya


Book ID
106434961
Publisher
Springer US
Year
2008
Tongue
English
Weight
237 KB
Volume
149
Category
Article
ISSN
1573-8795

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Solution surfaces of Monge–Ampère equati
✍ Go-o Ishikawa; Tohru Morimoto 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In this paper we examine the singularities of solution surfaces of Monge-Ampère equations and study their global and local effects on the solutions for certain kinds of equations in the framework of contact geometry. In particular, as a byproduct, we give a simple proof to the classical Hartman-Nire