A porous medium equation with nonlocal boundary condition and a localized source

作者：Han, Yuzhu^*; Gao, Wenjie

来源：APPLICABLE ANALYSIS, 2012, 91(3): 601-613.

DOI：10.1080/00036811.2010.550578

• porous medium equation
• blow-up
• localized source
• nonlocal boundary condition
• global blow-up
• blow-up rate

This article studies the blow-up properties of solutions to a porous medium equation with nonlocal boundary condition and a general localized source. Conditions for the existence of global or blow-up solutions are obtained. Moreover, it is proved that the unique solution has global blow-up property whenever blow-up occurs. Blow-up rate estimates are also obtained for some special cases.

• 出版日期2012
• 单位吉林大学