Existence and nonexistence of global solutions for a semilinear reaction–diffusion system
نویسندگان
چکیده
منابع مشابه
Local and global nonexistence of solutions to semilinear evolution equations
For a fixed p and σ > −1, such that p > max{1, σ + 1}, one main concern of this paper is to find sufficient conditions for non solvability of ut = −(−∆) β 2 u− V (x)u+ th(x)u +W (x, t), posed in ST := R × (0, T ), where 0 < T < +∞, (−∆) β 2 with 0 < β ≤ 2 is the β/2 fractional power of the −∆, and W (x, t) = tw(x) ≥ 0. The potential V satisfies lim sup|x|→+∞ |V (x)||x| < +∞, for some positive a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.07.067