带Robin边界条件Fisher-Kolmogorov-Petrovskii-Piskunov方程的定态分歧  

Steady-state Bifurcation of Fisher-Kolmogorov-Petrovskii-Piskunov Equations with Robin Boundary Conditions

作　　者：郝清明 潘志刚[1] 朱超 HAO Qingming;PAN Zhigang;ZHU Chao(College of Mathematics,Southwest Jiaotong University,Chengdu 611756 China)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《西华大学学报(自然科学版)》2025年第3期102-106,共5页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金项目(11901408);四川省自然科学青年基金项目(22NSFSC16338);中央高校理科创新培育项目(2682022ZTPY063)。

摘　　要：运用规范化的Lyapunov-Schmidt约化方法,结合线性全连续场谱分解定理研究Fisher-Kolmogorov-Petrovskii-Piskunov方程在Robin边界条件下的定态分歧,得到临界分歧条件的完整判据、分歧解的具体表达式以及分歧解的正则性。Using the normalized Lyapunov-Schmidt reduction method and the linear fully continuous field spectral decomposition theorem,the steady-state bifurcation of the Fisher-Kolmogorov-Petrovskii-Pis-kunov equation under Robin boundary condition was studied.The complete criteria for critical bifurcation con-ditions,speciic expressions for bifurcation solutions,and regularity of bifurcation solutions were obtained.

关 键 词：Fisher-Kolmogorov-Petrovskii-Piskunov方程 Lyapunov-Schmidt约化 Robin边界 谱定理 分歧 正则性 

分 类 号：O175.29[理学—数学]