Benito A. Juárez-Aubry

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math-ph2026

The Hadamard parametrix on globally hyperbolic spacetimes with Robin boundary conditions: Fundamental solutions and Hadamard states

Beatrice Costeri, Claudio Dappiaggi, Benito Alberto Juárez-Aubry

On a $d$ -dimensional, $d \geq 2$ , globally hyperbolic spacetime with a timelike boundary $(M, g)$ , we investigate the Klein-Gordon equation with Robin boundary conditions.…

math-ph2025

The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states

B. Costeri, C. Dappiaggi, B. A. Juárez-Aubry +1

We address the problem of constructing fundamental solutions and Hadamard states for a Klein-Gordon field in half-Minkowski spacetime with Robin boundary conditions in $d \geq 2$ s…