Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems
type: Item
instance of: scholarly article
title: Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems
zbMATH Open document ID: 1005.65105
DOI: 10.1016/S0895-7177(02)00054-7
author: Ismail Taqi Ali
author: Ivan Dimovski
author: S. L. Kalla
published in: Mathematical and Computer Modelling
publication date: 2002-08-15T00:00:00Z
review text: The authors treat two kinds of problems using operational calculus intended for boundary value problems: the first for the backward heat equation, and the second for a nonparabolic evolution equation. They discuss the algebraization of the boundary value problem using the Duhamel principle and obtain their solution in closed form. Ill-posed problems for linear partial differential equations are replaced by well-posed problems for equations of twice-higher order in the method of quasi-reversibility.
Mathematics Subject Classification ID: 65M30
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 44A45
zbMATH DE Number: 1781842
zbMATH Keywords: operational calculus
zbMATH Keywords: convolution
zbMATH Keywords: Duhamel principle
zbMATH Keywords: boundary value problem
zbMATH Keywords: backward heat equation
zbMATH Keywords: nonparabolic evolution equation
zbMATH Keywords: ill-posed problems
zbMATH Keywords: method of quasi-reversibility
reviewed by: Zhang Wanguo
MaRDI profile type: Publication
cites work: Q4188258
cites work: Q3020308
cites work: Q4438466
cites work: Germs and their Operational Calculus
cites work: Q5647412
full work available at URL: s0895-7177(02)00054-7
OpenAlex ID: W1982155861
description: scientific article; zbMATH DE number 1781842