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Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions
(American Institute of Mathematical Sciences, 2021-07)
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 ...
Large-time behavior for a fully nonlocal heat equation
(Springer, 2021-09)
We study the large-time behavior in all Lp norms and in different space-time scales of solutions to a nonlocal heat equation in ℝN involving a Caputo α-time derivative and a power of the Laplacian (−Δ)s, s ∈ (0,1), extending ...
Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
(Academic Press Inc.United States, 2022)
Strain energy change to the insertion of inclusions associated to a thermo-mechanical semi-coupled system
(Elsevier, 2013-01)
The topological derivative measures the sensitivity of a given shape functional with respect to an infinitesimal singular domain perturbation. According to the literature, the topological derivative has been fully developed ...
Optimal Control And Controllability Of A Phase Field System With One Control Force
(Springer New York LLC, 2014)