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Global Well‐Posedness and Energy Decay for a Nonlinear Viscoelastic Beam Equation With Nonlocal Energy Damping and Memory

Rongjiang Fu, Jun Zhou

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Source: Crossref

Published: Apr 13, 2025

DOI: 10.1002/mma.10969

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Source abstract

ABSTRACT This paper investigates a nonlinear viscoelastic equation with nonlocal energy damping and memory. The global well‐posedness and the decay of the energy are got by Faedo–Galërkin method, energy method, and Legendre transformation.

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Global Well‐Posedness and Energy Decay for a Nonlinear Viscoelastic Beam Equation With Nonlocal Energy Damping and Memory — Mathematical Frontier Network