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Viscoelasticity without initial condition. (English) Zbl 0672.73038

Volterra integrodifferential equations in Banach spaces and applications, Proc. Conf., Trento/Italy 1987, Pitman Res. Notes Math. Ser. 190, 52-66 (1989).
[For the entire collection see Zbl 0664.00018.]
A space of functions is introduced for which inertial viscoelastic boundary value problems without initial conditions are well posed. Results on existence, uniqueness and smoothness of solutions are established.
Reviewer: G.A.C.Graham

MSC:

74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
45K05 Integro-partial differential equations

Citations:

Zbl 0664.00018