Publication: Determining damping terms in fractional...

Master data
Title: Determining damping terms in fractional wave equations
Subtitle:
Abstract: Abstract This paper deals with the inverse problem of recovering an arbitrary number of fractional damping terms in a wave equation. We develop several approaches on uniqueness and reconstruction, some of them relying on Tauberian theorems that provide relations between the asymptotic behaviour of solutions in time and Laplace domains. The possibility of additionally recovering space-dependent coefficients or initial data is discussed. The resulting methods for reconstructing coefficients and fractional orders in these terms are tested numerically. In addition, we provide an analysis of the forward problem consisting of a multiterm fractional wave equation.
Keywords: Applied Mathematics, Computer Science Applications, Mathematical Physics, Signal Processing, Theoretical Computer Science
Publication type: Article in journal (Authorship)
Publication date: 01.06.2022 (Online)
Published by: Inverse Problems
Inverse Problems
to publication
 ( IOP Publishing Ltd.; )
Title of the series: -
Volume number: 38
Issue: 7
First publication: Yes
Version: -
Page: -
Total number of pages: 075004 pp.

Versionen
Keine Version vorhanden
Publication date: 01.06.2022
ISBN (e-book): -
eISSN: 1361-6420
DOI: http://dx.doi.org/10.1088/1361-6420/ac6b31
Homepage: -
Open access
  • Available online (open access)
Publication date: 01.07.2022
ISBN: -
ISSN: 0266-5611
Homepage: -

Authors
Barbara Kaltenbacher
Barbara.Kaltenbacher@aau.at
Institut für Mathematik
Research activities
To visiting card
(internal)
William Rundell
United States of America
rundell@math.tamu.edu
Research activities
(external)

Assignment
Organisation Address
Fakultät für Technische Wissenschaften
  Institut für Mathematik
Universitätsstraße 65-67
9020 Klagenfurt am Wörthersee
Austria
   math@aau.at
https://www.aau.at/mathematik
To organisation
Universitätsstraße 65-67
AT - 9020  Klagenfurt am Wörthersee

Categorisation
Subject areas
  • 101002 - Analysis
  • 101014 - Numerical mathematics
Research Cluster No research Research Cluster selected
Citation index
  • Science Citation Index Expanded (SCI Expanded)
Information about the citation index: Master Journal List
Peer reviewed
  • Yes
Publication focus
  • Science to Science (Quality indicator: I)
Classification raster of the assigned organisational units:
working groups
  • Inverse Probleme

Cooperations
Organisation Address
Texas A&M University
400 Bizzell St
TX 77843 College Station
United States of America
400 Bizzell St
US - TX 77843  College Station

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