RT journal article
T1 Strongly Lp well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations
A1 Alvarez, E.
A1 Lizama, C.
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Fractional order derivatives
K1 Operator-valued Fourier multipliers
K1 R-boundedness
K1 Sectorial operators
K1 Strongly Lp well-posedness
AB We obtain necessary and sufficient conditions for the strongly Lp well-posedness of three abstract evolution equations, arising from fractional Moore-Gibson-Thompson type equations which have recently appeared in the literature. We use Fourier multiplier techniques to derive new characterizations in terms of the R-boundedness of the operator-valued symbol associated to each abstract model, when endowed with the time-fractional Liouville-Grünwald derivative. As a consequence of our characterization, we give new insights into the differences between the models based on the structure of the respective operator-valued symbols and show novel applications by including several classes of operators other than the Laplacian.
PB Academic Press Inc.
SN 1090-2732
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32098
UL http://hdl.handle.net/10498/32098
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026