@misc{10498/35375, year = {2020}, url = {http://hdl.handle.net/10498/35375}, abstract = {We examine the Cauchy problem for a model of linear acoustics, called the Moore–Gibson–Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. For an adequate combination of the parameters of the model we prove Lp-Lq-well-posedness, and we provide maximal regularity estimates which are optimal thanks to the theory of operator-valued Fourier multipliers.}, publisher = {MDPI}, keywords = {well-posedness; Moore–Gibson}, keywords = {Moore–Gibson–Thompson equation}, keywords = {well-posedness}, keywords = {degenerate evolution equations}, keywords = {R-boundedness}, title = {Lp − Lq-well posedness for the Moore-Gibson-Thompson equation with two temperatures on cylindrical domains}, doi = {10.3390/MATH8101748}, author = {Lizama, Carlos and Murillo Arcila, Marina}, }