具有双稳非线性项的非局部时滞扩散方程的柱状对称波前解 刘佳长安大学理学院 西安 710064 Cylindrically Symmetric Traveling Fronts for Nonlocal Delayed Diffusion Equation with Bistable Nonlinearity Jia LIUSchool of Science, Chang'an University, Xi'an 710064, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF (0 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要本文研究了非局部时滞扩散方程柱状对称波前解的存在性和定性性质.最近，非局部时滞扩散方程的V形行波解和棱锥形行波解已经有了研究结果.利用棱锥形波前解序列的极限，我们建立了柱状对称波前解的存在性和定性性质，也证明了其水平集的渐近行为和柱状对称行波解的不存在性. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2020-05-14 MR (2010): O175.2 基金资助:国家自然科学基金（11701041）；长安大学中央高校基本科研业务费专项资金（300102129201） 作者简介: 刘佳,E-mail:liujia@chd.edu.cn 引用本文: 刘佳. 具有双稳非线性项的非局部时滞扩散方程的柱状对称波前解[J]. 数学学报, 2021, 64(4): 587-600. Jia LIU. Cylindrically Symmetric Traveling Fronts for Nonlocal Delayed Diffusion Equation with Bistable Nonlinearity. Acta Mathematica Sinica, Chinese Series, 2021, 64(4): 587-600. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2021/V64/I4/587 [1] Aronson D. G., Weinberger H. F., Multidimensional nonlinear diffusions arising in population genetics, Adv. Math., 1978, 30:33-76. [2] Bao X., Huang W. H., Traveling curved front of bistable reaction-diffusion equations with delay, E. J. Differential Equations, 2015, 252:1-17. 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