GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE LOGARITHMIC VISCOELASTIC PETROVSKY EQUATION WITH A DELAY TERM
Abstract
The paper examines a logarithmic viscoelastic Petrovsky equation with a delay term in a bounded domain. We employ the energy
method alongside the Faedo-Galarkin method to establish the existence of global solutions in appropriate Sobolev spaces. The solution's asymptotic
behavior is derived using a suitable Lyapunov functional
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Published
2026-04-17
Section
Special Issue: Global Assembly for Mathematical Modeling and Analysis
Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática
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