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Counterexamples to the Local Solvability of Monge-Ampère Equations in the Plane.

Authors :
Khuri, Marcus A.
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

Subjects :
EQUATIONS
ALGEBRA
MATHEMATICS
MATHEMATICAL analysis
ARITHMETIC

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
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