Santiago G'omez Cobos

collaborators

4 papers

math.AP2025

Functional calculus for Safarov pseudo-differential operators

Santiago Gómez Cobos, Michael Ruzhansky

Given a smooth, closed Riemannian manifold $(M, g)$ equipped with a linear connection $\nabla$ (not necessarily metric), we develop the holomorphic functional calculus for operators…

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

$L^{p}$ -bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry

Santiago Gómez Cobos, Michael Ruzhansky

Given a smooth complete Riemannian manifold with bounded geometry $(M, g)$ and a linear connection $\nabla$ on it (not necessarily a metric one), we prove the $L^{p}$ -boundedness of o…

Functional calculus for Safarov pseudo-differential operators

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

Lp-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry

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

$L^{p}$ -bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry