A hopf bifurcation in a double free boundary problem with pushchino dynamics

Yoon Mee Ham; Sang Sup Yum

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Bull. Korean Math. Soc. 1996; 33(2): 319-328

Printed June 1, 1996

A hopf bifurcation in a double free boundary problem with pushchino dynamics

Yoon Mee Ham and Sang Sup Yum

Kyonggi University and Kyonggi University

Abstract

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Abstract

The existence of solutions and the occurence of a Hopf bifurcation for the free boundary problem with Pushchino dynamics was shown in [3]. We generalized the results for the double free doundaries. We use a Fourier cosine tranformation to get the conclusion.

Keywords: free boundary, Hopf bifurcation, Fourier transformation

MSC numbers: Primary 35R35, 35B32; Secondary 35B25, 35K22, 35K57, 58F14, 58F22