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

Al-Qadisiyah Journal of Pure Science, Vol: 26, Issue: 1, Page: 71-87
2021
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Article Description

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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