TY - JOUR
T1 - Blow-up of Solutions to Quasilinear Parabolic Equations
JO - Journal of Partial Differential Equations
VL - 4
SP - 327
EP - 340
PY - 2005
DA - 2005/11
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5368.html
KW - Quasilinear parabolic equation
KW - global existence
KW - blow-up
AB - <p>This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.</p>