Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710258 | Applied Mathematics Letters | 2007 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhaoyin Xiang, Chunlai Mu, Lili Du,