生物学中一个反应扩散方程的大时间问题  

The Large Time Problem of a Reaction -DiffusionEquations in Biology

作　　者：张长青[1,2] 吕淑娟[1,2] 

机构地区：[1]黑龙江大学 [2]哈尔滨医科大学

出　　处：《哈尔滨理工大学学报》1997年第3期82-88,共7页Journal of Harbin University of Science and Technology

摘　　要：研究了生物学中描述形态形成的一个反应扩散方程组的初边值问题，考虑了它的大时间问题，用Ｇａｌｅｒｋｉｎ方法和Ｇｒｏｎｗａｌ不等式对方程组的近似解作一致的先验估计，进而用紧致性原理得到了大时间上整体解的存在性，并用积分估计法证明了整体解的惟一性。The initial boundary value problena of a reaction diffusion equatioas tbat describeshapes in biology is studied, the large time probleza is coasidered. First, priori estimations ofthe Galerkin approximate solutions are given by zaeans of tbe Gronwall ioequality.Furthermore, the existence of global solutions is giveo by compactess tbeoreza. Finally , theuniqueness of global solutions is proved by aeans of the integral estimate method.

关 键 词：反应扩散方程 伽辽金法 GRONWALL不等式 生物学 

分 类 号：Q－332[生物学]