کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501590 1338755 2005 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Blow-up results for a class of first-order nonlinear evolution inequalities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Blow-up results for a class of first-order nonlinear evolution inequalities
چکیده انگلیسی
We investigate the non-existence of solutions to a class of evolution inequalities; in this case, as it happens in a relatively small number of blow-up studies, nonlinearities depend also on time-variable t and spatial derivatives of the unknown. The present results, which in great part do not require any assumption on the regularity of data, are completely new and shown with various applications. Some of these results referring to the problem ut=Δu+a(x)|u|p+λf(x) in RN, t>0 include the non-existence results of positive global solutions obtained by Fujita and others when a≡1 and f≡0, Bandle-Levine and Levine-Meier when a≡|x|m and f≡0, Pinsky when either f≡0 or f≩0 and λ>0, Zhang and Bandle-Levine-Zhang when a≡1 and λ=1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 212, Issue 2, 15 May 2005, Pages 319-350
نویسندگان
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