Year: 2004
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 2 : pp. 152–162
Abstract
We study a free boundary problem of parabolic equations with a positive parameter τ included in the coefficient of the derivative with respect to the time variable t. This problem arises from some reaction-diffusion system. We prove that, if τ is large enough, the solution exists for 0 < t < +∞ while, if τ is small enough, the solution exists only in finite time.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JPDE-5383
Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 2 : pp. 152–162
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Free boundary problem