GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE LOGARITHMIC VISCOELASTIC PETROVSKY EQUATION WITH A DELAY TERM

  • saf salim université amar telidji Laghouat.

Résumé

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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Publiée
2026-04-17
Rubrique
Special Issue: Global Assembly for Mathematical Modeling and Analysis