Structure properties of solutions of some Fuchsian hyperbolic equations
type: Item
instance of: scholarly article
title: Structure properties of solutions of some Fuchsian hyperbolic equations
zbMATH Open document ID: 0567.35057
DOI: 10.1007/BF01472131
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164073
review text: Let P denote a hyperbolic Fuchsian differential operator of order m and weight m-k with \(C^{\infty}\) coefficients in \({\mathbb{R}}_ t\times {\mathbb{R}}^ n_ x\). The aim of this paper is to prove that, as an operator between germs of distributions at \((0,x_ 0)\), \(\ker P\cong {\mathcal D}'{}^{m+k}_{(0,x_ 0)},\quad co\ker P\cong 0.\) Furthermore a representation formula is proved for any germ of distribution belonging to ker P.
Mathematics Subject Classification ID: 35L25
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35C99
zbMATH DE Number: 3905101
zbMATH Keywords: hyperbolic Fuchsian differential operator
zbMATH Keywords: representation formula
author: Antonio Bove
author: Jeff E. Lewis
author: Cesare Parenti
MaRDI profile type: Publication
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OpenAlex ID: W2026268364
description: scientific article; zbMATH DE number 3905101