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Counterexamples to the Local Solvability of Monge-Ampère Equations in the Plane.
- Source :
- Communications in Partial Differential Equations; Apr2007, Vol. 32 Issue 4, p665-674, 10p
- Publication Year :
- 2007
-
Abstract
- In this paper, we present C∞ examples of degenerate hyperbolic and mixed type Monge-Ampère equations in the plane, which do not admit a local C3 solution. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
ALGEBRA
MATHEMATICS
MATHEMATICAL analysis
ARITHMETIC
Subjects
Details
- Language :
- English
- ISSN :
- 03605302
- Volume :
- 32
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Communications in Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 24726428
- Full Text :
- https://doi.org/10.1080/03605300600635061