Paper Info
Title
Identification of the Right-Hand Side of an Equation with a Fractional Power of an Elliptic Operator.
Abstract
An inverse problem of identifying the right-hand side of an equation with a fractional power of an elliptic operator by the solution is considered. The direct problem is solved via solving a Cauchy problem for a pseudo-parabolic equation. The problem of identifying the righthand side is reduced to a retrospective problem for this pseudo-parabolic equation. An iterative method is employed to adjust the initial condition. The results of numerical experiments for a 2D inverse problem are presented.
Year
DOI
Venue
2018
10.1007/978-3-030-10692-8_24
Lecture Notes in Computer Science
Keywords
DocType
Volume
Fractional power of an elliptic operator,Identification of the right-hand side,Retrospective inverse problem,Iterative method for solving an ill-posed problem
Conference
11189
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Petr N. Vabishchevich13727.46