Criteria for singularities of smooth maps from the plane into the plane and its applications

Abstract

We shall give useful criteria of lips, beaks and swallowtail singularities of smooth map from the plane into the plane. As an application of criteria, we will discuss the singularities of Cauchy problem of single conservation law.

arXiv comment9 pages, 4 figures

References in corpus (1)

• Behavior of corank one singular points on wave fronts

Cited by in corpus (1)

• Affine connections and singularities of tangent surfaces to space curves