Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501590 | Journal of Differential Equations | 2005 | 32 Pages |
Abstract
We investigate the non-existence of solutions to a class of evolution inequalities; in this case, as it happens in a relatively small number of blow-up studies, nonlinearities depend also on time-variable t and spatial derivatives of the unknown. The present results, which in great part do not require any assumption on the regularity of data, are completely new and shown with various applications. Some of these results referring to the problem ut=Îu+a(x)|u|p+λf(x) in RN, t>0 include the non-existence results of positive global solutions obtained by Fujita and others when aâ¡1 and fâ¡0, Bandle-Levine and Levine-Meier when aâ¡|x|m and fâ¡0, Pinsky when either fâ¡0 or fâ©0 and λ>0, Zhang and Bandle-Levine-Zhang when aâ¡1 and λ=1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A.M. Piccirillo, L. Toscano, S. Toscano,