This paper considers the blow-up phenomena of solutions for nonlocal diffusion equations with a weighted gradient reaction, and gives the sufficient conditions for existence and blow-up. Firstly, the local existence of solutions is proven by using the Banach fixed-point theorem. Secondly, a new auxiliary function is constructed by using eigenfunctions. Finally, the results are combined with the differential inequality technique to obtain the upper bound of the blow-up time.
WANG Suzhen
,
MENG Haixia
. Blow-up of solutions for nonlocal diffusion equations with a weighted gradient reaction[J]. Journal of East China Normal University(Natural Science), 2020
, 2020(2)
: 50
-54
.
DOI: 10.3969/j.issn.1000-5641.201911006
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