Murillo Arcila, Marina2023-11-152023-11-152023-01-300170-4214https://riunet.upv.es/handle/10251/199846[EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our results by providing an example based on the fourth order Moore-Gibson-Thompson equation with Dirichlet boundary conditions.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)C-alpha-well posednessDirichlet LaplacianFourier multipliersFourth-order Moore-Gibson-Thompson equationWell-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functionsArtÃculo10.1002/mma.8618Abierto