2 papers
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 -dimensional, , globally hyperbolic spacetime with a timelike boundary , 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 s…