RT journal article T1 Well-posedness for the fourth-order Moore-Gibson-Thompson equation in Hölder Continuous Function Spaces A1 Murillo Arcila, Marina A2 Matemáticas K1 Dirichlet Laplacian K1 Fourier multipliers K1 fourth-order Moore–Gibson–Thompson equation K1 C𝛼����–well AB In this work, we provide a full characterization of well-posedness in vector-valued Hölder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore–Gibson–Thompson equation with memory using operator-valued (Formula presented.) -Fourier multipliers. We illustrate our results by providing an example based on the fourth order Moore–Gibson–Thompson equation with Dirichlet boundary conditions. PB Wiley SN 1099-1476 YR 2023 FD 2023 LK http://hdl.handle.net/10498/35331 UL http://hdl.handle.net/10498/35331 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026