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Asymptotic estimates of solution to damped fractional wave equation

Abstract It is known that the damped fractional wave equation has the diffusive structure as t → ∞ $t\rightarrow \infty $ . Let u ( t , x ) = e − t cosh ( t L ) f ( x ) + e − t sinh ( t L ) L ( f ( x ) + g ( x ) ) $u(t,x)=e^{-t}\cosh (t\sqrt{L})f(x)+e^{-t} \frac{\sinh (t\sqrt{L})}{\sqrt{L}}(f(x)+g(x...

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Autores principales: Meizhong Wang, Dashan Fan
Formato: Artigo
Lenguaje:Inglês
Publicado: SpringerOpen 2024-07-01
Colección:Journal of Inequalities and Applications
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Acceso en línea:https://doi.org/10.1186/s13660-024-03181-7
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