info:eu-repo/semantics/article
Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions
Fecha
2021-07Registro en:
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions; American Institute of Mathematical Sciences; Mathematics In Engineering; 4; 3; 7-2021; 1-17
2640-3501
CONICET Digital
CONICET
Autor
Cortázar, Carmen
Quirós, Fernando
Wolanski, Noemi Irene
Resumen
We study the decay/growth rates in all Lp norms of solutions to an inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend strongly on the space-time scale andon the time behavior of the spatial L1 norm of the forcing term.