In this article,we study the asymptotic behaviour of $Spin(7)$-instantons with square integrable curvature on the cylindrical over a compact $G_{2}$-manifold has fully holomony.We can prove that the instanton decays exponentially at the ends.
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Uniqueness of the $[\varphi,\vec{e}_{3}]$-catenary cylinders by their asymptotic behaviour
Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
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