vix.ing · top · new · best · stats · spec

Hadamard expansions for powers of causal Green's operators and "resolvents''

2023/04/06 by Ronge, Lennart
#53B30 (Secondary) #58J45 (Primary) 58K55 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.03011

Abstract

We derive an asymptotic expansion analogous to the Hadamard expansion for powers of advanced/retarded Green's operators associated to a normally hyperbolic operator P, as well as expansions for advanced/retarded Green's operators associated to P-z for z∈ ℂ. These expansions involve the same Hadamard coefficients as the original Hadamard expansion.

Related