J. Restrepo

activity

20202025

most citedPrabhakar-type linear differential equations with variable coefficients

5 citations · 9 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

Evolutionary integro-differential equations of scalar type on locally compact groups

Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky

We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differe…

math.AP2024

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups

Santiago Gómez Cobos, Joel E. Restrepo, Michael Ruzhansky

We prove the $L^{p} - L^{q}$ $(1 < p ⩽ 2 ⩽ q < + \infty)$ norm estimates for the solutions of heat and wave type equations on a locally compact separable unimodular group $G$ by…

math.AP2024

Integro-differential diffusion equations on graded Lie groups

Joel E. Restrepo, Michael Ruzhansky, Berikbol T. Torebek

We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on $L^{p} (G)$ $(1 < p < + \infty$ , $G$ is a gra…

Evolutionary integro-differential equations of scalar type on locally compact groups

Lp−Lq estimates for non-local heat and wave type equations on locally compact groups

Integro-differential diffusion equations on graded Lie groups

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups