RT journal article
T1 Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
A1 Abadias, L.
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 $C^{\alpha}$-well posedness
K1 Moore-Gibson-Thompson equation
K1 operator-valued Fourier multipliers
K1 infinite delay
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 Westerwelt equations.  We show in  case of the Laplacian operator the new and  surprising fact  that for the standard memory kernel $g(t)=\frac{t^{\nu-1}}{\Gamma(\nu)}e^{-at}$ the third order problem is ill-posed whenever $0<\nu \leq 1$ and $a$ is inversely proportional to  the damping term of the given model.
PB AIMS
SN 1553-5258
YR 2018
FD 2018
LK http://hdl.handle.net/10498/35421
UL http://hdl.handle.net/10498/35421
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026