Existence of a null Chaplygin approximation for a solution of the generalized Cauchy problem

1971 ◽  
Vol 10 (4) ◽  
pp. 691-693
Author(s):  
V. S. Blinchevskii
Keyword(s):  
Cauchy Problem ◽  
Generalized Cauchy Problem

scholarly journals The local model of an isotropic map-germ arising from one-dimensional symplectic reduction

1992 ◽  
Vol 111 (1) ◽  
pp. 103-112 ◽  
Author(s):  
Goo Ishikawa
Keyword(s):  
Cauchy Problem ◽  
Dimensional Reduction ◽  
Arbitrary Dimension ◽  
Reduction Process ◽  
Symplectic Reduction ◽  
Local Model ◽  
One Dimensional ◽  
Generalized Cauchy Problem

AbstractIn this paper, we classify generic isotropic map-germs arising from the symplectic reduction process relative to a hypersurface (i.e. one-dimensional reduction), up to symplectic equivalence in the C category. These models are open Whitney umbrellas of arbitrary dimension and their suspensions. These singularities appear in the generalized Cauchy problem for HamiltonJacobi equations.

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