کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1710258 1012882 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Liouville-type theorem for a system of parabolic inequalities and its applications
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A Liouville-type theorem for a system of parabolic inequalities and its applications
چکیده انگلیسی

In this work, we study a system of parabolic inequalities. Using the method of test functions, we establish an integral estimate and get a Liouville-type theorem for the solutions of this system. As an application, we observe the well-known Fujita blow-up phenomena for the corresponding parabolic system. Here, the importance of this observation is that we do not impose any regularity assumption on the initial data. For general exponents, we also establish the universal Lp estimates and obtain the nonexistence of solutions bounded below by a positive constant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 20, Issue 9, September 2007, Pages 976–981
نویسندگان
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