TY - JOUR
T1 - On a recent result of Cazenave, Dickstein and Weissler
AU - Kerbal, S.
N1 - Funding Information:
The author would like to thank Sultan Qaboos University for the financial support under grant number: IG/SCI/DOMS/11/06 . He is also very grateful to the referees for their remarks and suggestions.
PY - 2011/10
Y1 - 2011/10
N2 - In this note, we present an estimate from below of the blow-up time of blowing-up solutions of a non-linear non-local in the time evolution equation recently introduced by Cazenave et al. (2008) [1]. Moreover, we give an alternative proof of one of the results of Cazenave et al. (2008) [1] which gives more precise information on the hypotheses than those in the paper Cazenave et al. (2008) [1].
AB - In this note, we present an estimate from below of the blow-up time of blowing-up solutions of a non-linear non-local in the time evolution equation recently introduced by Cazenave et al. (2008) [1]. Moreover, we give an alternative proof of one of the results of Cazenave et al. (2008) [1] which gives more precise information on the hypotheses than those in the paper Cazenave et al. (2008) [1].
KW - Blow-up time
KW - Non-linear equation of second order
KW - Test function
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U2 - 10.1016/j.aml.2011.04.021
DO - 10.1016/j.aml.2011.04.021
M3 - Article
AN - SCOPUS:79957577926
SN - 0893-9659
VL - 24
SP - 1693
EP - 1697
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 10
ER -