@misc{10498/35345,
year = {2021},
url = {http://hdl.handle.net/10498/35345},
abstract = {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.},
publisher = {Bolyai Institute, University of Szeged},
keywords = {Well-posedness},
keywords = {Moore-Gibson-Thompson equation},
keywords = {Operator-valued multipliers},
keywords = {R- boundedness},
title = {Well posedness for a fourth-order equation of Moore-Gibson- Thompson type},
author = {Lizama, Carlos and Murillo Arcila, Marina},
}