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Sharp energy decay estimates for a Petrovsky system with internal damping. (Estimations précises de la décroissance de l’énergie d’un système de Petrovsky avec amortissement interne.) (French. Abridged English version) Zbl 0838.34076

Summary: We establish precise estimates of the energy decay for a Petrovsky system, by applying a method based on a special integral. We prove how the damping term acts on the constants depending on the initial data in such estimates.

MSC:

34G20 Nonlinear differential equations in abstract spaces
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
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