Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term
- Author
- DANG DUC TRONG1 ; NGUYEN THANH LONG1 ; PHAM NGOC DINH ALAIN2
[1] Mathematics Department, Viet Nam National University, 227 Nguyen Van Cu, HoChiMinh City, District, Viet Nam
[2] Mathematics Department, Mapmo UMR 6628, BP 67-59, 45067 Orleans, France - Source
Journal of mathematical analysis and applications. 2005, Vol 312, Num 1, pp 93-104, 12 p ; ref : 5 ref
- CODEN
- JMANAK
- ISSN
- 0022-247X
- Scientific domain
- Control theory, operational research; Mathematics
- Publisher
- Elsevier, San Diego, CA
- Publication country
- United States
- Document type
- Article
- Language
- English
- Author keyword
- Error estimations Identification Regularization
- Keyword (fr)
- Analyse mathématique Equation chaleur Erreur estimation Estimation erreur Identification Mesure Lebesgue Problème mal posé Régularisation Transformation Fourier Unicité solution Equation non homogène
- Keyword (en)
- Mathematical analysis Heat equation Estimation error Error estimation Identification Lebesgue measure Ill posed problem Regularization Fourier transformation Solution uniqueness
- Keyword (es)
- Análisis matemático Ecuación calor Error estimación Estimación error Identificación Medida Lebesque Problema mal planteado Regularización Transformación Fourier Unicidad solución
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E08 Partial differential equations
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 17238366
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1016/j.jmaa.2005.03.037 
https://dx.doi.org/10.1016/j.jmaa.2005.03.037
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Journal of mathematical analysis and applications\";s:9:\"\u0000*\u0000stitle\";s:19:\"J. math. anal. appl\";s:7:\"\u0000*\u0000date\";s:4:\"2005\";s:9:\"\u0000*\u0000volume\";s:3:\"312\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:2:\"93\";s:8:\"\u0000*\u0000epage\";s:3:\"104\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-247X\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:14:\"DANG DUC TRONG\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:17:\"NGUYEN THANH LONG\";i:1;s:20:\"PHAM NGOC DINH ALAIN\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JMANAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"12\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Journal of mathematical analysis and applications\";s:9:\"\u0000*\u0000stitle\";s:19:\"J. math. anal. appl\";s:7:\"\u0000*\u0000date\";s:4:\"2005\";s:9:\"\u0000*\u0000volume\";s:3:\"312\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:2:\"93\";s:8:\"\u0000*\u0000epage\";s:3:\"104\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-247X\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:14:\"DANG DUC TRONG\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:17:\"NGUYEN THANH LONG\";i:1;s:20:\"PHAM NGOC DINH ALAIN\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JMANAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"12\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Journal of mathematical analysis and applications\";s:9:\"\u0000*\u0000stitle\";s:19:\"J. math. anal. appl\";s:7:\"\u0000*\u0000date\";s:4:\"2005\";s:9:\"\u0000*\u0000volume\";s:3:\"312\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:2:\"93\";s:8:\"\u0000*\u0000epage\";s:3:\"104\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-247X\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:14:\"DANG DUC TRONG\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:17:\"NGUYEN THANH LONG\";i:1;s:20:\"PHAM NGOC DINH ALAIN\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JMANAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"12\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Journal of mathematical analysis and applications\";s:9:\"\u0000*\u0000stitle\";s:19:\"J. math. anal. appl\";s:7:\"\u0000*\u0000date\";s:4:\"2005\";s:9:\"\u0000*\u0000volume\";s:3:\"312\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:2:\"93\";s:8:\"\u0000*\u0000epage\";s:3:\"104\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-247X\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:14:\"DANG DUC TRONG\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:17:\"NGUYEN THANH LONG\";i:1;s:20:\"PHAM NGOC DINH ALAIN\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JMANAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"12\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1016\/j.jmaa.2005.03.037\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Journal of mathematical analysis and applications\";s:9:\"\u0000*\u0000stitle\";s:19:\"J. math. anal. appl\";s:7:\"\u0000*\u0000date\";s:4:\"2005\";s:9:\"\u0000*\u0000volume\";s:3:\"312\";s:8:\"\u0000*\u0000issue\";s:1:\"1\";s:8:\"\u0000*\u0000spage\";s:2:\"93\";s:8:\"\u0000*\u0000epage\";s:3:\"104\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0022-247X\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:14:\"DANG DUC TRONG\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:17:\"NGUYEN THANH LONG\";i:1;s:20:\"PHAM NGOC DINH ALAIN\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"JMANAK\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:91:\"Nonhomogeneous heat equation : Identification and regularization for the inhomogeneous term\";s:8:\"\u0000*\u0000place\";s:13:\"San Diego, CA\";s:6:\"\u0000*\u0000pub\";s:8:\"Elsevier\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"12\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
