Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations
نویسندگان
چکیده
منابع مشابه
On Blow-up at Space Infinity for Semilinear Heat Equations
We are interested in solutions of semilinear heat equations which blow up at space infinity. In [7], we considered a nonnegative blowing up solution of ut = ∆u+ u, x ∈ R, t > 0 with initial data u0 satisfying 0 ≤ u0(x) ≤ M, u0 ≡ M and lim |x|→∞0 = M, where p > 1 and M > 0 is a constant. We proved in [7] that the solution u blows up exactly at the blow-up time for the spatially constant solution...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1989
ISSN: 0022-0396
DOI: 10.1016/0022-0396(89)90081-8