MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.18, no.6, 2021 (SCI-Expanded)
In this paper, the existence, uniqueness and L-p-regularity properties of solutions of initial value problem for improved abstract Boussinesq equation is obtained. The equation includes a linear operator A in a Banach space E. We can obtain the existence, uniqueness and qualitative properties a different classes improved Boussinesq equations by choosing the space E and linear operator A, which occur in a wide variety of physical systems. By applying this result, initial value problem for nonlocal Boussinesq equations and mixed problem for degenerate Boussinesq equations are studied.