摘要
采用对偶性技巧、Holder不等式、线性抛物型方程正则性理论等一系列非线性分析的方法,研究一类带有交错扩散影响的非线性生物种群迁移与竞争控制系统模型,在尺”(2≤n≤4)的任何有界光滑区域并带有一般边界条件的情况下,得到系统解的整体存在性.
Using the duality technique and Holder's inequality, and the requarity theory for the linear parabolic equations and some methods in nonlinear analysis,study some nonlinear control systems modeling which has been introduced as a model of two competitive species which are interacting each other and migrating under self and cross-diffusion effects,and obtains the existence of the global solution for this systems on any smooth bounded domain in Rn(2≤n≤4) under the general boundary conditions.
出处
《河北师范大学学报（自然科学版）》
CAS
2003年第1期1-3,共3页
Journal of Hebei Normal University：Natural Science
基金
韩国研究基金资助项目(KRF-2000-DP0013)
