On the asymptotic behaviour of solutions of integro-differential inequalities
type: Item
instance of: scholarly article
title: On the asymptotic behaviour of solutions of integro-differential inequalities
zbMATH Open document ID: 0675.45011
author: Maria Giovanna Garroni
author: José-Luis Menaldi
published in: Ricerche di Matematica
publication date: 1987-01-01T00:00:00Z
review text: The authors study the limiting behaviour of solutions \(u_{\lambda}\) of the unilateral problem \[ (1)\quad (Au_{\lambda}+\lambda u_{\lambda}- f)\vee (u_{\lambda}-\psi)=0\quad in\quad \Omega,\quad Bu_{\lambda}=0\quad on\quad \partial \Omega \] as the positive parameter \(\lambda\) tends to zero. Here \(\vee\) denotes the maximum between real numbers, A is an elliptic integro-differential operator of second order and B is a differential operator of first order. The main tool employed to establish the results is based on precise estimates of the Green function for the initial-boundary value problem associated with A and B.
reviewed by: B. G. Pachpatte
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 4105582
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: integro-differential inequalities
zbMATH Keywords: limiting behaviour
zbMATH Keywords: unilateral problem
zbMATH Keywords: elliptic integro-differential operator of second order
zbMATH Keywords: Green function
zbMATH Keywords: initial-boundary value problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4105582