RT journal article
T1 Well posedness for a fourth-order equation of Moore-Gibson- Thompson type
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Well-posedness
K1 Moore-Gibson-Thompson equation
K1 Operator-valued multipliers
K1 R- boundedness
AB In this paper, we completely characterize, only in terms of the data, the well-posednessof a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation withmemory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and TriebelLizorkin function spaces. Our characterization is  flexible enough to admit as examples the Laplacianand the fractional Laplacian operators, among others. We also provide a practical and general criteriathat allows $L_p- L_q$- well posedness.
PB Bolyai Institute, University of Szeged
YR 2021
FD 2021
LK http://hdl.handle.net/10498/35345
UL http://hdl.handle.net/10498/35345
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026