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A free boundary focusing problem

Authors: Danielle Hilhorst and Josephus Hulshof
Journal: Proc. Amer. Math. Soc. 121 (1994), 1193-1202
MSC: Primary 35R35; Secondary 35B40, 35K55
MathSciNet review: 1233975
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Abstract: We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.

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Keywords: Free boundary problem, similarity variables, maximum principle, asymptotic behaviour
Article copyright: © Copyright 1994 American Mathematical Society

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