Reduction theorem and normal forms of linear second order mixed type PDE families in the plane
Authors: Davydov AA, Thi Diep LT
Publication Year: 2011
Reference: TWMS Journal of Pure and Applied Mathematics, 2(1):44-53
static.bsu.az/w24/pp.44-53%20Davydov.pdf
Abstract
Normal forms for smooth deformation of germ of characteristic equation of second order partial differential equation being linear with respect to second derivative is found near a point of tangency of characteristic direction with the type change line, when this singular point is nondegenerate and non-resonance.
KEYWORDS: Implicit differential equation; Mixed type equation; Normal form; Classification
KEYWORDS: Implicit differential equation; Mixed type equation; Normal form; Classification