Open Access
July 2010 Criteria for singularities of smooth maps from the plane into the plane and their applications
Kentaro Saji
Hiroshima Math. J. 40(2): 229-239 (July 2010). DOI: 10.32917/hmj/1280754423

Abstract

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

Citation

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Kentaro Saji. "Criteria for singularities of smooth maps from the plane into the plane and their applications." Hiroshima Math. J. 40 (2) 229 - 239, July 2010. https://doi.org/10.32917/hmj/1280754423

Information

Published: July 2010
First available in Project Euclid: 2 August 2010

zbMATH: 1223.57028
MathSciNet: MR2680658
Digital Object Identifier: 10.32917/hmj/1280754423

Subjects:
Primary: 57R45

Keywords: criteria , recognition , singularity

Rights: Copyright © 2010 Hiroshima University, Mathematics Program

Vol.40 • No. 2 • July 2010
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