CAJ | 학술논문

万方数据

高等数学研究 고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2012年 1期 13-15 ,共3页

王云花%李冰%张智倍王雲花%李冰%張智倍

왕운화%리빙%장지배

Hahn—Banach不动点定理%反应扩散方程%局部解的存在性与唯一性 Hahn—Banach不動點定理%反應擴散方程%跼部解的存在性與唯一性
Hahn—Banach불동점정리%반응확산방정%국부해적존재성여유일성
Hahn-Banach theorem%reaction-diffusion equations%existence and uniqueness of local solution

应用Hahn-Banach不动点定理，刻画Banach空间内一类反应扩散方程弱解的局部存在性，再利用Gronwall不等式证得局部解的唯一性．
응용Hahn-Banach불동점정리，각화Banach공간내일류반응확산방정약해적국부존재성，재이용Gronwall불등식증득국부해적유일성．
This paper deal with the existence and uniqueness of local reaction-diffusion equations. Hahn-Banach Theorem is used to prove solutions for a class of the existence of local solutions and Gronwall＇s Inequality is used to prove the uniqueness.