Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
نویسندگان
چکیده
منابع مشابه
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* Correspondence: zhgs917@163. com Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China Full list of author information is available at the end of the article Abstract This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and globa...
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and Applied Analysis 3 Theorem 1.2. Assume that u0 x ∈ C1 0, ∞ is a nonnegative, nonincreasing and compactly supported function, then all the nontrivial solutions u x, t of problem 1.5 occur blow-up; moreover, the blow-up set B u satisfies [ 0, p ( p − 1) p − 2 ) ⊂ B u ⊂ [ 0, p ( p − 1) p − 2 ] . 1.6 Remark 1.3. The nonincreasing assumption on u0 makes the proof much simpler see also 7 . Remark...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1991
ISSN: 0022-0396
DOI: 10.1016/0022-0396(91)90056-f