%0 Journal Article 
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T Well posedness for a fourth-order equation of Moore-Gibson- Thompson type
%D 2021
%U http://hdl.handle.net/10498/35345
%X In this paper, we completely characterize, only in terms of the data, the well-posedness
of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with
memory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and Triebel
Lizorkin function spaces. Our characterization is  flexible enough to admit as examples the Laplacian
and the fractional Laplacian operators, among others. We also provide a practical and general criteria
that allows $L_p- L_q$- well posedness.
%K Well-posedness
%K Moore-Gibson-Thompson equation
%K Operator-valued multipliers
%K R- boundedness
%~ Universidad de Cádiz