The paper establishes well-posedness in H-valued Sobolev spaces for the Cauchy problem of nonlocal abstract wave equations with convolution and operator coefficients.
De Godefroy, Blow up of solutions of a generalized Boussinesq e quation IMA J
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The regularity properties of nonlocal abstract wave equations
The paper establishes well-posedness in H-valued Sobolev spaces for the Cauchy problem of nonlocal abstract wave equations with convolution and operator coefficients.