Stability of stationary transport equations with accretive collision operators
type: Item
instance of: scholarly article
title: Stability of stationary transport equations with accretive collision operators
zbMATH Open document ID: 0967.47033
author: C. van der Mee
author: André C. M. Ran
author: Leiba Rodman
published in: Journal of Functional Analysis
publication date: 2000-08-27T00:00:00Z
review text: Stability of solutions to stationary transport equations with accretive collision operators is studied in this article. Stability means here robustness with respect to small perturbations of both operators and initial values. The problem is studied first in the finite-dimensional case to which the general problem is eventually reduced (Section 1). Section 2 is devoted to the study of several spectral decompositions and accretive admissible pairs play an important role here. The main results are proved in Section 3. This extends previous work for positive semidefinite operators.
reviewed by: Jesús Hernández
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 1496049
zbMATH Keywords: Lax pair
zbMATH Keywords: stability
zbMATH Keywords: stationary transport equations
zbMATH Keywords: accretive collision operators
zbMATH Keywords: robustness with respect to small perturbations
zbMATH Keywords: spectral decompositions
zbMATH Keywords: accretive admissible pairs
zbMATH Keywords: positive semidefinite operators
MaRDI profile type: Publication
OpenAlex ID: W2010828661
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DOI: 10.1006/JFAN.2000.3587
description: scientific article; zbMATH DE number 1496049