EXISTENCE OF PERIODICSOLUTIONS OF A NONLINEAR ALLEN-CAHN EQUATION WITH NEUMANN CONDITION

Authors

Raad Awad Hameed, Mathematics Department, College of Education, Tikrit University, Tikrit, IraqFollow
Wafaa M. Taha, Mathematics Department, College of Sciences, Kirkuk University, Kirkuk, IraqFollow
Sarah Majeed Talab, Mathematics Department, College of Education, Tikrit University, Tikrit, IraqFollow

Document Type

Article

Abstract

This research investigated the periodic solutions to a nonlinear diffusion Allen-Cahn equation with isolated Neumann problem. The theory of Leray-Schauder fixed point degree was adopted and the study showed that there exist nontrivial periodic solutions to the nonlinear diffusion Allen-Cahn equation with isolated Neumann problem by the topological degree theory.

Keywords

nonlinear diffusion Allen-Cahn equation; topological degree theory; isolated Neumann condition

Recommended Citation

Hameed, Raad Awad; Taha, Wafaa M.; and Talab, Sarah Majeed (2021) "EXISTENCE OF PERIODICSOLUTIONS OF A NONLINEAR ALLEN-CAHN EQUATION WITH NEUMANN CONDITION," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 1 , Article 6.
Available at: https://doi.org/10.29350/qjps.2021.26.1.1248

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.