We consider an inverse problem of determining a spatially varying source term in a parabolic transmission problem. We establish a Lipschitz stability estimate in determining a source by a single measurement on an arbitrary subdomain over a time interval. Our method is a Carleman estimate for the transmission problem by Doubova, Osses and Puel (2002).

# Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

IMPACT FACTOR increased in 2015: 0.987

Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.583

Source Normalized Impact per Paper (SNIP) 2015: 1.106

Impact per Publication (IPP) 2015: 0.712

Mathematical Citation Quotient (MCQ) 2015: 0.43

- Online
- ISSN
- 1569-3945

30,00 € / $42.00 / £23.00

Get Access to Full Text# Inverse source problem for a transmission problem for a parabolic equation

^{∗}/ M. Yamamoto

^{†}

^{∗}Faculté des Sciences de Bizerte, Département des Mathematiques, 7021 Jarzouna Bizerte, Tunisia. E-mail: (email)

^{†}Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, Tokyo 153, Japan. E-mail: (email)

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 1, Pages 47–56, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406776237456,

### Publication History

- Published Online:

## Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

*Boundary Value Problems*, 2014, Volume 2014, Number 1, Page 195

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences*, 2014, Volume 470, Number 2169, Page 20140349

*Inverse Problems*, 2013, Volume 29, Number 9, Page 095007

*Inverse Problems*, 2012, Volume 28, Number 7, Page 075007

*Applicable Analysis*, 2008, Volume 87, Number 10-11, Page 1145

*Nonlinearity*, 2010, Volume 23, Number 3, Page 675

*Inverse Problems*, 2009, Volume 25, Number 12, Page 123013

*ZAMM*, 2008, Volume 88, Number 6, Page 472

## Comments (0)