Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems (Q1609416)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems |
scientific article; zbMATH DE number 1781842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems |
scientific article; zbMATH DE number 1781842 |
Statements
Operational calculus approach to PDE arising in QR-regularisation of ill-posed problems (English)
0 references
15 August 2002
0 references
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.
0 references
operational calculus
0 references
convolution
0 references
Duhamel principle
0 references
boundary value problem
0 references
backward heat equation
0 references
nonparabolic evolution equation
0 references
ill-posed problems
0 references
method of quasi-reversibility
0 references
