Global blow-up for a localized nonlinear parabolic equation with a nonlocal boundary condition

作者：Chen, Youpeng^*; Liu, Lihua

来源：Journal of Mathematical Analysis and Applications, 2011, 384(2): 421-430.

DOI：10.1016/j.jmaa.2011.05.079

• Nonlinear parabolic equation
• Localized reaction source
• Nonlocal boundary condition
• Global blowup
• Blowup rate

This paper deals with the blow-up properties of positive solutions to a nonlinear parabolic equation with a localized reaction source and a nonlocal boundary condition. Under certain conditions, the blowup criteria is established. Furthermore, when f (u) = u(p), 0 < p <= 1, the global blowup behavior is shown, and the blowup rate estimates are also obtained.

• 出版日期2011-12-15
• 单位盐城师范学院; 河海大学