Decay estimates of solutions of a nonlinearly damped semilinear wave equation

• Autorzy: Aissa Guesmia , Salim A. Messaoudi
• Języki publikacji: EN

Abstrakty

EN

We consider an initial boundary value problem for the equation $u_{tt} - Δu - ∇ϕ·∇u + f(u) + g(u_{t}) = 0$. We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.

Kategorie tematyczne

• 35L55: Higher-order hyperbolic systems
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 85
• Numer: 1
• Strony: 25-36

Daty

wydano

2005

Twórcy

autor

Aissa Guesmia

• Département de Mathématiques, UFR MIM, Université de Metz, Ile de Saulcy, 57045 Metz, France

autor

Salim A. Messaoudi

• Mathematical Sciences Department, KFUPM, Dhahran 31261, Saudi Arabia

Identyfikatory

DOI

10.4064/ap85-1-3