Existence and construction of solutions of dissipative inverse problems
(1991) In Journal of Mathematical Analysis and Applications 157(2). p.542-554- Abstract
- The problem considered here is that of simultaneously reconstructing spatially dependent velocity and dissipation profiles for a one-dimensional medium using a finite time trace of normal incidence reflection data measured on one side of the medium. It is shown that if the sup norm of the reflection data is bounded in a particular way, then this inverse problem is guaranteed to have a solution. A numerical algorithm which is based on this existence proof is used to illustrate the reconstruction process.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1038987
- author
- Kristensson, Gerhard LU ; Krueger, Robert J and Winther, Ronald C
- publishing date
- 1991
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Analysis and Applications
- volume
- 157
- issue
- 2
- pages
- 542 - 554
- publisher
- Elsevier
- external identifiers
-
- scopus:5544262883
- ISSN
- 0022-247X
- DOI
- 10.1016/0022-247X(91)90105-9
- language
- English
- LU publication?
- no
- id
- c2a08b5f-b5ff-4812-8f25-5794cb7d0cec (old id 1038987)
- date added to LUP
- 2016-04-04 09:35:21
- date last changed
- 2021-01-03 03:40:14
@article{c2a08b5f-b5ff-4812-8f25-5794cb7d0cec, abstract = {{The problem considered here is that of simultaneously reconstructing spatially dependent velocity and dissipation profiles for a one-dimensional medium using a finite time trace of normal incidence reflection data measured on one side of the medium. It is shown that if the sup norm of the reflection data is bounded in a particular way, then this inverse problem is guaranteed to have a solution. A numerical algorithm which is based on this existence proof is used to illustrate the reconstruction process.}}, author = {{Kristensson, Gerhard and Krueger, Robert J and Winther, Ronald C}}, issn = {{0022-247X}}, language = {{eng}}, number = {{2}}, pages = {{542--554}}, publisher = {{Elsevier}}, series = {{Journal of Mathematical Analysis and Applications}}, title = {{Existence and construction of solutions of dissipative inverse problems}}, url = {{http://dx.doi.org/10.1016/0022-247X(91)90105-9}}, doi = {{10.1016/0022-247X(91)90105-9}}, volume = {{157}}, year = {{1991}}, }