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Hui Ge
Hui Ge

Public Documents 1
Gevrey regularity of multidimensional Euler-Bernoulli plate equation with fractional...
Hui Ge

Hui Ge

November 12, 2025
In this paper, we consider the Gevrey regularity of the Euler-Bernoulli plate equation with fractional Kelvin-Voigt damping in a bounded domain where the damping d is smooth and satisfied some assumptions in an appropriate open subset of the domain. We show that the underlying semigroup is of Gevrey class for every s > 3 α if 0 < α < 6 7 ; and for every s > 7 2 if 6 7 ≤ α < 1 . Our proof relies on the geometric multiplier skill and frequency domain method.

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