On the minmax theory of estimating solutions of abstract parabolic equations
type: Item
instance of: scholarly article
title: On the minmax theory of estimating solutions of abstract parabolic equations
zbMATH Open document ID: 0855.49016
DOI: 10.1007/BF02366418
author: S. I. Lyashko
author: A. G. Nakonechnyj
published in: Cybernetics and Systems Analysis
publication date: 1996-08-25T00:00:00Z
review text: The authors obtain observation-dependent estimates for the quantities connected with solutions to evolution equations in Hilbert spaces. It is assumed that the observations depend on realization of stochastic processes with unknown second moment. The properties of these estimates are studied and the minimax standard errors are evaluated.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 49K35
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 907263
zbMATH Keywords: abstract parabolic equations
zbMATH Keywords: minimax estimation theory
zbMATH Keywords: evolution equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 907263