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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 ...
A heat equation with memory: large-time behavior
(Academic Press Inc Elsevier Science, 2021-06)
We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0 < α < 1). These are known as subdiffusion equations. The initial data are assumed to be ...
A heat equation with memory: Large-time behavior
(Academic Press Inc., 2021)
© 2021We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0<α<1). These are known as subdiffusion equations. The initial data are assumed to be ...
Asymptotic behavior for a nonlocal diffusion equation in exterior domains: The critical two-dimensional case
(2016)
We study the long time behavior of bounded, integrable solutions to a nonlocal diffusion equation, partial derivative(t)u = J * u - u, where J is a smooth, radially symmetric kernel with support B-d(0) subset of R-2. The ...
Asymptotic behavior for a one-dimensional nonlocal diffusion equation in exterior domains
(2016)
We study the large time behavior of solutions to the nonlocal diffusion equation partial derivative(t)u = J * u - u in an exterior one-dimensional domain, with zero Dirichlet data on the complement. In the far field scale, ...
Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
(Academic Press Inc.United States, 2022)
Optimal Control And Controllability Of A Phase Field System With One Control Force
(Springer New York LLC, 2014)