TY - GEN AU - Abadias, L. AU - Lizama, Carlos AU - Murillo Arcila, Marina A4 - Matemáticas PY - 2018 SN - 1553-5258 SN - 1534-0392 UR - http://hdl.handle.net/10498/35421 AB - We characterize the well-posedness of a third order in time equation with infinite delay in H\"older spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the linearized Kuznetzov and... LA - eng PB - AIMS KW - $C^{\alpha}$-well posedness KW - Moore-Gibson-Thompson equation KW - operator-valued Fourier multipliers KW - infinite delay TI - Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay DO - 10.3934/CPAA.2018015 ER -