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Optimal energy decay rate for a class of weakly dissipative second-order systems with memory

✍ Scribed by Jaime E. Muñoz Rivera; Maria Grazia Naso


Book ID
108052532
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
249 KB
Volume
23
Category
Article
ISSN
0893-9659

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Asymptotic behavior of the energy for a
✍ Jaime E. Muñoz Rivera; Maria Grazia Naso; Federico M. Vegni 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 206 KB

A class of second-order abstract systems with memory and Dirichlet boundary conditions is investigated. By suitable Liapunov functionals, existence of solutions as well as asymptotic behavior, are determined. In particular, when the memory kernel decays exponentially, the polynomially decay of the s