Identification of a constant coefficient in an elliptic equation

The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applicable analysis Jg. 87; H. 10-11; S. 1121 - 1128
1. Verfasser: Lyubanova, A.Sh
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis Group 01.10.2008
Schlagworte:
boundary value problems for second-order elliptic equations
filtration
inverse problems for PDE
local existence and uniqueness theorems
ISSN:0003-6811, 1563-504X
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
AbstractList The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded. The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
Author Lyubanova, A.Sh
Author_xml – sequence: 1
  givenname: A.Sh
  surname: Lyubanova
  fullname: Lyubanova, A.Sh
  email: lubanova@mail.ru
  organization: Department of Applied Mathematics and Automatic Control Systems , Siberian Federal University
BookMark eNqFkE9LAzEUxINUsFU_gLc9eVtNNrvJLnhQin8KBS8K3kI2eYHINmmTFO23N209WainNzDzewwzQSPnHSB0RfANwS2-xRhT1m5lRdqONfUJGpOG0bLB9ccIjbd-mQPkDE1i_MSYVG3Dxuh-psEla6ySyXpXeFPIQnkXk3QpCzDZsjlSWFdIV8Aw2GWyqoDVekdcoFMjhwiXv_ccvT89vk1fyvnr82z6MC8V5TyVHatMLZlpNMGE9iChY4Zhblpdsb5TNakMhr4HopmSmrMesFS9BiCgSWfoObre_10Gv1pDTGJho8p1pAO_joI2tG55XeUg3wdV8DEGMELZtKuagrSDIFhsZxIHi2WS_CGXwS5k2Bxl7vaMdcaHhfzyYdAiyc3ggwnSKZurHcP5v_gBJdJ3oj8nr5V2
CitedBy_id crossref_primary_10_1134_S1990478924020108
crossref_primary_10_3934_ipi_2011_5_695
crossref_primary_10_1080_00036811_2010_530258
crossref_primary_10_1134_S0037446613060116
crossref_primary_10_1007_s10958_023_06370_9
crossref_primary_10_1080_00036811_2018_1442001
crossref_primary_10_1088_0266_5611_28_7_075006
crossref_primary_10_1134_S1995080223030071
crossref_primary_10_1515_jiip_2011_032
crossref_primary_10_1080_00036811_2011_630667
crossref_primary_10_3390_sym12091539
crossref_primary_10_4213_mzm12199
crossref_primary_10_1134_S1990478920010111
crossref_primary_10_1155_2024_2275200
crossref_primary_10_1134_S0012266114040089
Cites_doi 10.1007/3-540-57195-7_29
10.1016/0022-0396(90)90078-4
10.1216/RMJ-1983-13-3-383
10.1080/00036818808839730
10.3934/ipi.2007.1.437
10.1137/S003613999426630X
10.1007/BF01231541
10.1515/9783110915549
10.1088/0266-5611/12/6/009
10.1088/0266-5611/8/4/009
10.1088/0266-5611/14/4/005
10.1080/00036818308839456
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 2008
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 2008
DBID AAYXX
CITATION
7TB
8FD
FR3
KR7
DOI 10.1080/00036810802189654
DatabaseName CrossRef
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Civil Engineering Abstracts
DatabaseTitle CrossRef
Civil Engineering Abstracts
Engineering Research Database
Technology Research Database
Mechanical & Transportation Engineering Abstracts
DatabaseTitleList Civil Engineering Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Mathematics
EISSN 1563-504X
EndPage 1128
ExternalDocumentID 10_1080_00036810802189654
319132
GroupedDBID --Z
-~X
.7F
.QJ
0BK
0R~
23M
2DF
30N
4.4
5GY
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABUFD
ABXUL
ABXYU
ACGEJ
ACGFS
ACGOD
ACIWK
ACTCW
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGCQS
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CAG
CCCUG
CE4
COF
CS3
DGEBU
DKSSO
EBS
EJD
E~A
E~B
F5P
GTTXZ
H13
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
NA5
NY~
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TN5
TTHFI
TUROJ
TWF
UPT
UT5
UU3
WH7
ZGOLN
~S~
07G
1TA
6TJ
AAIKQ
AAKBW
AAYXX
ACAGQ
ACGEE
AEUMN
AFFNX
AGLEN
AGROQ
AHMOU
ALCKM
AMEWO
AMVHM
AMXXU
BCCOT
BPLKW
C06
CITATION
CRFIH
DMQIW
DWIFK
HF~
H~9
IVXBP
LJTGL
NUSFT
QCRFL
TAQ
TFMCV
TOXWX
UB9
UU8
V3K
V4Q
ZY4
7TB
8FD
FR3
KR7
ID FETCH-LOGICAL-c377t-962f4a6f5d1013beae96f607f8d26b9c412f0ebbe1d6cad76be0acbdee1ed19f3
IEDL.DBID TFW
ISICitedReferencesCount 22
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000261094200003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0003-6811
IngestDate Sun Nov 09 12:34:57 EST 2025
Sat Nov 29 03:59:07 EST 2025
Tue Nov 18 22:42:49 EST 2025
Mon Oct 20 23:34:41 EDT 2025
Mon May 13 12:10:01 EDT 2019
IsPeerReviewed true
IsScholarly true
Issue 10-11
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c377t-962f4a6f5d1013beae96f607f8d26b9c412f0ebbe1d6cad76be0acbdee1ed19f3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 35348742
PQPubID 23500
PageCount 8
ParticipantIDs proquest_miscellaneous_35348742
crossref_primary_10_1080_00036810802189654
informaworld_taylorfrancis_310_1080_00036810802189654
crossref_citationtrail_10_1080_00036810802189654
PublicationCentury 2000
PublicationDate 20081001
PublicationDateYYYYMMDD 2008-10-01
PublicationDate_xml – month: 10
  year: 2008
  text: 20081001
  day: 01
PublicationDecade 2000
PublicationTitle Applicable analysis
PublicationYear 2008
Publisher Taylor & Francis Group
Publisher_xml – name: Taylor & Francis Group
References CIT0010
CIT0001
CIT0012
CIT0011
Friedman A (CIT0006) 1989; 38
Alessandrini G (CIT0003) 2007; 1
CIT0014
CIT0002
Vainikko G (CIT0013) 1996
CIT0004
CIT0015
CIT0007
Klibanov MV (CIT0009) 2004
Calderon AP (CIT0005) 1980
CIT0008
References_xml – ident: CIT0012
  doi: 10.1007/3-540-57195-7_29
– ident: CIT0002
  doi: 10.1016/0022-0396(90)90078-4
– ident: CIT0015
  doi: 10.1216/RMJ-1983-13-3-383
– volume: 38
  start-page: 553
  year: 1989
  ident: CIT0006
  publication-title: Indiana Univ. Math. J.
– ident: CIT0001
  doi: 10.1080/00036818808839730
– start-page: 65
  volume-title: Rio de Janeiro, Brasil, 1980, Soc. Brasil. Mat
  year: 1980
  ident: CIT0005
– volume: 1
  start-page: 437
  year: 2007
  ident: CIT0003
  publication-title: Inv. Prob. Imag.
  doi: 10.3934/ipi.2007.1.437
– ident: CIT0010
  doi: 10.1137/S003613999426630X
– ident: CIT0011
  doi: 10.1007/BF01231541
– volume-title: Carleman Estimates for Coefficient Inverse Problems and Numerical Applications
  year: 2004
  ident: CIT0009
  doi: 10.1515/9783110915549
– ident: CIT0007
  doi: 10.1088/0266-5611/12/6/009
– start-page: 90
  volume-title: in Inverse Problems in Diffusion Processes (Proceedings of the GAMM-SIAM Symposium)
  year: 1996
  ident: CIT0013
– ident: CIT0008
  doi: 10.1088/0266-5611/8/4/009
– ident: CIT0004
  doi: 10.1088/0266-5611/14/4/005
– ident: CIT0014
  doi: 10.1080/00036818308839456
SSID ssj0012856
Score 1.8463228
Snippet The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1121
SubjectTerms boundary value problems for second-order elliptic equations
filtration
inverse problems for PDE
local existence and uniqueness theorems
Title Identification of a constant coefficient in an elliptic equation
URI https://www.tandfonline.com/doi/abs/10.1080/00036810802189654
https://www.proquest.com/docview/35348742
Volume 87
WOSCitedRecordID wos000261094200003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis Journals Complete
  customDbUrl:
  eissn: 1563-504X
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0012856
  issn: 0003-6811
  databaseCode: TFW
  dateStart: 19710401
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELZQxQADhQKiPD0wIVk4LzvZQIiKhYqhiG6RH2epEkqhSRE_HztxKkpRB1giD3dO5Nz57nzn7xC6jDmlWoWSaB4bEmvBiYCEEWMfENpoLOFNswk-HKbjcfbka3NKX1bpYmjTAEXUe7VTbiHLtiLuugZRSd3Q2qeMJQ4N1Jp9p5ajwcsihxCmde9WR00sedDmNH-bYckqLWGWruzRteEZdP_5ybtox3uc-LYRkT20AUUPdb33ib1ulz20_bhAcC330U1zg9f4Iz08NVhg1TiTlR1ADT1hSfCkwKLADtfT7j4Kw3sDHn6Angf3o7sH4rstEBVxXpGMhSYWzCTaamkkQUDGDKPcpDpkMlNxEBoKUkKgmRKaMwlUKKkBAtBBZqJD1CmmBRwhLCNKwWhpwy8dA08FUCsoQjClrDcp4z6i7WrnykORu44Yr3mwQCz9sV59dLVgeWtwONYR0--_MK_qww_TdCpZJc-rz6qPkjUs0ZpXXbTikVvFdNkWUcB0bnmSyAaDcXj8x5lP0FbYYu8Gp6hTzeZwhjbVRzUpZ-e1qH8BH677Ww
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEB58gXrwLa7PHDwJxbRNk_amiIuiLh5W9FbymMCCdNWt4s836WPxxR70UnKYSUs6k3kl3wAcMkGp0ZEKjGA2YEaKQGLCA-seGLloLBF1swnR66UPD9ltk3AbNccqfQxta6CIaq_2yu2T0e2RuOMKRSX1Q2egMp6waZhNnJ312Pn97v24ihClVfdWTx44-rCtav42xRe79AW19McuXZme7vJ_P3oFlhqnk5zWUrIKU1iswXLjgJJGvUdrsHgzBnEdrcNJfYnXNlk9MrREEl37k6UbYIU-4UjIoCCyIB7a021AmuBzjR--AXfd8_7ZRdA0XAh0LEQZZDyyTHKbGKeosUKJGbecCpuaiKtMszCyFJXC0HAtjeAKqdTKIIZowszGmzBTDAvcAqJiStEa5SIww1CkEqmTFSm51s6hVKwDtF3uXDdo5L4pxmMejkFLv61XB47GLE81FMckYvr5H-Zllf-wdbOSn-R5-V52IJnAEk941UErH7nTTV9wkQUOXx1PErt4kEXbf5z5AOYv-jfX-fVl72oHFqIWijfchZny5RX3YE6_lYPRy34l9x8Itf-F
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8MwDLZ4CcGBN2I8c-CEVJG2adLeQMAEAiYOQ3Cr8nCkSagbW0H8fNLXBAztAJcqBzutUtuxY-czwDETlBodKM8IZj1mpPAkRtyz7oGBi8YiUTWbEJ1O_PycPNS1OaO6rLKIoW0FFFHa6kK5B8Y2FXGnJYhKXAzd_pTwiM3CvHObeSHg3fbTOIkQxGXz1oLcc_R-k9T8bYpv29I30NIJI13uPO3Vf37zGqzULic5r2RkHWYw24DV2v0ktXKPNmD5fgzhOtqEs-oKr63P9EjfEkl05U3mboAl9oQjIb2MyIwUwJ7O_GiCrxV6-BY8tq-6F9de3W7B06EQuZfwwDLJbWScmoYKJSbccipsbAKuEs38wFJUCn3DtTSCK6RSK4Poo_ETG27DXNbPcAeICilFa5SLvwxDEUukTlKk5Fo7d1KxFtBmtVNdY5EXLTFeUn8MWfpjvVpwMmYZVEAc04jp11-Y5uXph61alUySp_lH3oJoCks45VVHjXikTjOLdIvMsP_meKLQRYMs2P3jzEew-HDZTu9uOrd7sBQ0OLz-Pszlwzc8gAX9nvdGw8NS6j8BBcT-Nw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Identification+of+a+constant+coefficient+in+an+elliptic+equation&rft.jtitle=Applicable+analysis&rft.au=Lyubanova%2C+A+Sh&rft.date=2008-10-01&rft.issn=0003-6811&rft.eissn=1563-504X&rft.volume=87&rft.issue=10&rft.spage=1121&rft.epage=1128&rft_id=info:doi/10.1080%2F00036810802189654&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0003-6811&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0003-6811&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0003-6811&client=summon