Nonautonomous Retarded Wave Equations
Copyright policy )Nonautonomous Retarded Wave Equations
In the present paper the authors study the existence and uniqueness of \(C^2\) solutions to nonautonomous retarded wave equations with memory effects. To this end the authors first tackle the well-posedness problem for a class of Volterra nonautonomous retarded differential equations in a Banach space. The main tools in the proofs are the Hille-Yosida operator theory, the extrapolation theory for Hille-Yosida operators, and a result on nonautonomous perturbations due to Desch-Schnappacher.
- Università degli studi di Salerno Italy
- Cadi Ayyad University Morocco
well-posedness, generator, Hille-Yosida operator, Applied Mathematics, Partial functional-differential equations, Initial-boundary value problems for second-order hyperbolic equations, extrapolation space, memory effects, Analysis
well-posedness, generator, Hille-Yosida operator, Applied Mathematics, Partial functional-differential equations, Initial-boundary value problems for second-order hyperbolic equations, extrapolation space, memory effects, Analysis
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