An inverse problem for the fractional Allen-Cahn equation
Li Li
TL;DR
This paper investigates an inverse problem related to the fractional Allen-Cahn equation, utilizing asymptotic analysis and unique continuation properties to address the problem.
Contribution
It introduces a novel approach to the inverse problem for the fractional Allen-Cahn equation based on asymptotics and unique continuation.
Findings
Established conditions for the inverse problem's solvability
Derived asymptotic formulas for the fractional Allen-Cahn equation
Proved unique continuation properties for the fractional case
Abstract
We study an inverse problem for the fractional Allen-Cahn equation. Our formulation and arguments rely on the asymptotics for the fractional equation and unique continuation properties.
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