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Quadratic Finite Element Approximations of the Monge-Ampère Equation

✍ Scribed by Michael Neilan


Book ID
118803062
Publisher
Springer US
Year
2012
Tongue
English
Weight
889 KB
Volume
54
Category
Article
ISSN
0885-7474

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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