Blow-up set for a superlinear heat equation and pointedness of the initial data
نویسندگان
چکیده
منابع مشابه
Initial blow-up solution of a semilinear heat equation
We study the existence and uniqueness of a maximal solution of equation ut − ∆u + f(u) = 0 in Ω× (0,∞), where Ω is a domain with a non-empty compact boundary, which satisfies u = g on ∂Ω × (0,∞), assuming that g and f are given continuous functions and f is also convex, nondecreasing, f(0) = 0 and verifies Keller-Osserman condition. We show that if the boundary of Ω satisfies the parabolic Wien...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2014
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.4617