%0 Journal Article 
%A Murillo Arcila, Marina
%T Well-posedness for the fourth-order Moore-Gibson-Thompson equation in Hölder Continuous Function Spaces
%D 2023
%@ 1099-1476

%U http://hdl.handle.net/10498/35331
%X 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.
%K Dirichlet Laplacian
%K Fourier multipliers
%K fourth-order Moore–Gibson–Thompson equation
%K C𝛼����–well
%~ Universidad de Cádiz