Reduction theorem and normal forms of linear second order mixed type PDE families in the plane

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

VIEW CONTENT

RELATED PROGRAMS

Advanced Systems Analysis

International Institute for Applied Systems Analysis (IIASA)
Schlossplatz 1, A-2361 Laxenburg, Austria
Phone: (+43 2236) 807 0 Fax:(+43 2236) 71 313

Twitter Facebook Youtube
Follow us on