J. Delgado

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20242026

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math.AP2024

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

DuvÃ¡n 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…

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

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