Decay rates of Volterra equations on ℝN

• Autorzy: Monica Conti , Stefania Gatti , Vittorino Pata
• Języki publikacji: EN

Abstrakty

EN

This note is concerned with the linear Volterra equation of hyperbolic type $$\partial _{tt} u(t) - \alpha \Delta u(t) + \int_0^t {\mu (s)\Delta u(t - s)} ds = 0$$ on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.

Słowa kluczowe

EN

Integro-differential equations; memory kernel; polynomial decay

Kategorie tematyczne

• 45M05: Asymptotics
• 45K05: Integro-partial differential equations
• 35B40: Asymptotic behavior of solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 4
• Strony: 720-732

Daty

wydano

2007-12-01

online

2007-12-01

Twórcy

autor

Monica Conti

• Politecnico di Milano

autor

Stefania Gatti

• Università di Modena e Reggio Emilia

autor

Vittorino Pata

• Politecnico di Milano

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-007-0024-2