RT journal article T1 Lp − Lq-well posedness for the Moore-Gibson-Thompson equation with two temperatures on cylindrical domains A1 Lizama, Carlos A1 Murillo Arcila, Marina A2 Matemáticas K1 well-posedness; Moore–Gibson K1 Moore–Gibson–Thompson equation K1 well-posedness K1 degenerate evolution equations K1 R-boundedness AB We examine the Cauchy problem for a model of linear acoustics, called theMoore–Gibson–Thompson equation, describing a sound propagation in thermo-viscous elastic mediawith two temperatures on cylindrical domains. For an adequate combination of the parameters of themodel we prove Lp-Lq-well-posedness, and we provide maximal regularity estimates which are optimalthanks to the theory of operator-valued Fourier multipliers. PB MDPI SN 2227-7390 YR 2020 FD 2020 LK http://hdl.handle.net/10498/35375 UL http://hdl.handle.net/10498/35375 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026