کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610636 1338576 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on semilinear heat equation in hyperbolic space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A note on semilinear heat equation in hyperbolic space
چکیده انگلیسی

Bandle et al. [1] obtained a quite interesting result about a semilinear heat equation that the Fujita exponent relative to the whole hyperbolic space is just the same as that relative to bounded domain in Euclidean space, and, in addition, the properties of solutions are different in the critical exponent case. Our purpose is to answer an open problem proposed by Bandle et al. for the critical exponent case, and it, together with the one obtained by them, shows that the critical exponent case does belong to the non-blow-up case, which is completely different from the case in Euclidean space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 3, 1 February 2014, Pages 1151–1156
نویسندگان
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