Critical exponents for a semilinear parabolic equation with variable reaction
نویسندگان
چکیده
منابع مشابه
Critical Exponents for a Semilinear Parabolic Equation with Variable Reaction
In this paper we study the blow-up phenomenon for nonnegative solutions to the following parabolic problem: ut(x, t) = ∆u(x, t) + (u(x, t)) , in Ω× (0, T ), where 0 < p− = min p ≤ p(x) ≤ max p = p+ is a smooth bounded function. After discussing existence and uniqueness we characterize the critical exponents for this problem. We prove that there are solutions with blow-up in finite time if and o...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2012
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210510000399