TY - JOUR
T1 - The Existence and the Non-existence of Global Solutions of a Free Boundary Problem
AU - Rong Yin  & Wanghui Yu 
JO - Journal of Partial Differential Equations
VL - 2
SP - 152
EP - 162
PY - 2004
DA - 2004/05
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5383.html
KW - Free boundary problem
KW - global solution
KW - existence
KW - non-existence
AB -  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.