Julio Delgado

collaborators

5 papers

math.AP2024

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Duván Cardona, Marianna Chatzakou, Julio Delgado +2

In this work we consider the semigroup $e^{- t A_{k, ℓ}^{γ}}$ for $γ > 0$ associated to an anharmonic oscillator of the form $A_{k, ℓ} = (- Δ)^{ℓ} + ∣ x ∣^{2 k}$ …

math.AP2023

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups

Duván Cardona, Julio Delgado, Vishvesh Kumar +1

We establish the $L^{p}$ - $L^{q}$ -boundedness of subelliptic pseudo-differential operators on a compact Lie group $G$ . Effectively, we deal with the $L^{p}$ - $L^{q}$ -bounds for operators in…

math.AP2023

Degenerate Schrödinger equations with irregular potentials

Duván Cardona, Marianna Chatzakou, Julio Delgado +1

In this work we investigate a class of degenerate Schrödinger equations associated to degenerate elliptic operators with irregular potentials on $\Ran$ by introducing a suitable Hö…

math.AP2023

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

Duván Cardona, Julio Delgado, Brian Grajales +1

Let $A$ and $B$ be invariant linear operators with respect to a decomposition ${H_{j}}_{j \in N}$ of a Hilbert space $H$ in subspaces of finite dimension. We gi…

math.AP2022

Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups

Duván Cardona, Julio Delgado, Michael Ruzhansky

We extend the estimates proved by Donnelly and Fefferman and by Lebeau and Robbiano for sums of eigenfunctions of the Laplacian (on a compact manifold) to estimates for sums of eig…

Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations

Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

Degenerate Schrödinger equations with irregular potentials

Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria

Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups

$L^{p}$ - $L^{q}$ estimates for subelliptic pseudo-differential operators on compact Lie groups