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math.AP2020★ 1 cited
On the fourth order Cattaneo equation of heat conduction with memory
Luciano Pandolfi
The well known heat equation with finite speed of propagation proposed by Cattaneo is obtained by a more general fourth order PDE when a certain (small) parameters is put equal to…
math.AP2017
On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory
Francesca Bucci, Luciano Pandolfi
We undertake a regularity analysis of the solutions to initial/boundary value problems for the (third-order in time) Moore-Gibson-Thompson (MGT) equation. The key to the present in…