@Article{JPDE-17-2,
author = {},
title = {The Existence and the Non-existence of Global Solutions of a Free Boundary Problem},
journal = {Journal of Partial Differential Equations},
year = {2004},
volume = {17},
number = {2},
pages = {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.},
issn = {2079-732X},
doi = {https://doi.org/2004-JPDE-5383},
url = {https://global-sci.com/article/88550/the-existence-and-the-non-existence-of-global-solutions-of-a-free-boundary-problem}
}