摘要:This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time is studied.
关键词:35B44;35K67;36K65;Degenerate and singular parabolic equations;Nonlocal source;Blow-up set;Uniform blow-up profile