Asymptotic expansions for bounded solutions to semilinear Fuchsian equations
type: Item
instance of: scholarly article
title: Asymptotic expansions for bounded solutions to semilinear Fuchsian equations
zbMATH Open document ID: 1086.35058
author: Xiaochun Liu
author: Ingo Witt
published in: Documenta Mathematica
publication date: 2004-08-31T00:00:00Z
full work available at URL: https://eudml.org/doc/52309
full work available at URL: 13.html
review text: The authors study solutions \(u= u(x)\) to semilinear elliptic equations of the form \[ Au= F(x, B_1u,\dots, B_ku)\quad\text{on }X^0= X\setminus\partial X,\tag{1} \] where \(X\) is a smooth compact manifold with boundary, \(\partial X\), and of dimension \(n+1\), \(A\), \(B_1,\dots, B_k\) are Fuchsian differential operators on \(X^0\). They show that bounded solutions to (1) obey complete asymptotic expansions in terms of powers and logarithms in the distance to the boundary.
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 2095726
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: bounded solution
zbMATH Keywords: Fuchsian differential operators
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2095726