一类强耦合抛物系统解的一致有界性

GLOBAL EXISTENCE AND UNIFORM BOUNDNESS OF SOLUTIONS TO A CROSS-DIFFUSION SYSTEM

考虑一个耦合抛物系统的初边值问题,通过利用H lder不等式,常微分方程的比较原理,Nirenberg-Gagliard不等式以及嵌入定理等先验估计的技巧给出了这类系统解的整体存在性及一致有界性.

In this paper, we study a strongly-coupled parabolic system with initial boundary values. Under the appropriate conditions, using some prior estimate＇s techniques of Hoelder inequality, comparison principle of ODE, Gagliard-Nirenberg, Poincaré inequality, Gronwall inequality and imbedding Theorem, we obtain the global existence and uniform boundness of solutions.