一类生物物理模型方程解的积分估计  

Integral estimates of approximate solutions for a class of systems of multidimensional reaction-diffusion equations

作　　者：于涛[1] 徐润章[1] 

机构地区：[1]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2008年第10期1131-1134,共4页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(10871055);黑龙江省自然科学基金资助项目(A2007-02)

摘　　要：研究从生物物理学中提出的一类反应扩散方程组的初边值问题,在关于非线性项的单调性和增长阶假设下,利用Galerkin方法构造了问题的近似解,并利用泛函分析中的估计手段得到了关于近似解的一系列积分估计.这些估计直接指出解的存在空间和特定范数的有界性,从而为进一步研究解的整体存在性提供了理论保证.This paper is mainly devoted to the initial boundary value problem for a class of systems of reaction diffusion equations arising from biophysics. With assumption of monotone and growth conditions for nonlinear terms, the Galerkin method was employed to construct an approximate solution to the problem; then a series of integral estimates for approximate solutions were obtained by using the estimation tools in functional analysis. These estimates directly provide some bounded norms and the function space in which the solutions exist. The conclusions obtained will help researchers to further study the existence of a global solution.

关 键 词：反应扩散方程组 初值问题 边值问题 近似解 卡辽金方法 

分 类 号：O175.26[理学—数学]