%0 Journal Article 
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T Lp − Lq-well posedness for the Moore-Gibson-Thompson equation with two temperatures on cylindrical domains
%D 2020
%@ 2227-7390
%U http://hdl.handle.net/10498/35375
%X 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.
%K well-posedness; Moore–Gibson
%K Moore–Gibson–Thompson equation
%K well-posedness
%K degenerate evolution equations
%K R-boundedness
%~ Universidad de Cádiz