J. Delgado

activity

20132026

most citedSchatten classes on compact manifolds: Kernel conditions

82 citations · 229 across the 29 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and $L^{p}$ - $L^{q}$ -boundedness of Fourier integral operators on compact manifolds

Duván Cardona, Julio Delgado, Michael Ruzhansky

We link Sogge's type $L^{p}$ -estimates for eigenfunctions of the Laplacian on compact manifolds with the problem of providing criteria for the $r$ -nuclearity of Fourier integral oper…

math.AP2024

Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

Duvan Cardona, Julio Delgado, Michael Ruzhansky

In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space…

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 $A_{k, ℓ} = (- Δ)^{ℓ} + ∣ x ∣^{2 k}$ …

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds

Well-posedness for a class of pseudo-differential hyperbolic equations on the torus

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

Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and $L^{p}$ - $L^{q}$ -boundedness of Fourier integral operators on compact manifolds