@misc{10498/35331, year = {2023}, url = {http://hdl.handle.net/10498/35331}, abstract = {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.}, publisher = {Wiley}, keywords = {Dirichlet Laplacian}, keywords = {Fourier multipliers}, keywords = {fourth-order Moore–Gibson–Thompson equation}, keywords = {C𝛼����–well}, title = {Well-posedness for the fourth-order Moore-Gibson-Thompson equation in Hölder Continuous Function Spaces}, doi = {10.1002/MMA.8618}, author = {Murillo Arcila, Marina}, }