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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

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=Îu+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 aâ¡1 and fâ¡0, Bandle-Levine and Levine-Meier when aâ¡|x|m and fâ¡0, Pinsky when either fâ¡0 or fâ©0 and λ>0, Zhang and Bandle-Levine-Zhang when aâ¡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
Journal: Journal of Differential Equations - Volume 212, Issue 2, 15 May 2005, Pages 319-350
نویسندگان
A.M. Piccirillo, L. Toscano, S. Toscano,