Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 1997; 34(2): 395-405
Printed June 1, 1997
Copyright © The Korean Mathematical Society.
A globality of a Hopf bifurcation in a free boundary problem
YoonMee Ham
Kyonggi University
A globality of the Hopf bifurcation in a free boundary problem for a parabolic partial differential equation is investigated in this paper. We shall examine the global behavior of the Hopf critical eigenvalues and and apply the center-index theory to show the globality.
Keywords: evolution equation, free boundary problem, global Hopf bifurcation, parabolic equation, center index
MSC numbers: Primary 35R35, 35B32; Secondary 35B25, 35K22, 35K57, 58F14, 58F22
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