3 papers
math-ph2026
Schauder estimates for germs of distributions on smooth manifolds
Beatrice Costeri, Claudio Dappiaggi, Paolo Rinaldi +1
We discuss germs of distributions on dimensional smooth Riemannian manifolds and, in particular, we derive \emph{multi-level Schauder estimates} without making any further assu…
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…
math-ph2024
Conservation Law and Trace Anomaly for the Stress Energy Tensor of a Self-Interacting Scalar Field
Beatrice Costeri, Claudio Dappiaggi, Michele Goi
We consider a self-interacting, massive, real scalar field on a four-dimensional globally hyperbolic spacetime and the associated stress-energy tensor. Using techniques proper of t…