Existence of periodic solutions of a nonlinear Allen-Cahn equation with Neumann problem

Existence of periodic solutions of a nonlinear Allen-Cahn equation with Neumann problem

  • Wafaa Taha Kirkuk University
  • Raad Hameed
  • Sarah Majeed Talab
DOI: https://doi.org/10.29350/qjps.2021.26.1.1248
Keywords: nonlinear diffusion Allen-Cahn equation; topological degree theory; isolated Neumann condition

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.

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Published
2020-12-13
How to Cite
Taha, W., Hameed, R., & Sarah Majeed Talab. (2020). Existence of periodic solutions of a nonlinear Allen-Cahn equation with Neumann problem. Al-Qadisiyah Journal of Pure Science, 26(1), Math. 71-. https://doi.org/10.29350/qjps.2021.26.1.1248
Issue
Vol 26 No 1 (2021)
Section
Mathematics

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