Determination of a nonlinear source term in a diffusion equation with final observations
This paper deals with an inverse problem of determining a nonlinear source term in a quasilinear diffusion equation with overposed final observations. Applying integral identity methods, data compatibilities are deduced by which the inverse source problem here is proved to be reasonable and solvable...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204211383 |
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| _version_ | 1832549496889802752 |
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| author | Gongsheng Li Yichen Ma Kaitai Li |
| author_facet | Gongsheng Li Yichen Ma Kaitai Li |
| author_sort | Gongsheng Li |
| collection | DOAJ |
| description | This paper deals with an inverse problem of determining a
nonlinear source term in a quasilinear diffusion equation with
overposed final observations. Applying integral identity methods,
data compatibilities are deduced by which the inverse source
problem here is proved to be reasonable and solvable.
Furthermore, with the aid of an integral identity that connects
the unknown source terms with the known data, a conditional
stability is established. |
| format | Article |
| id | doaj-art-33387ead3d7d4946805dbb650a3fe1e6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33387ead3d7d4946805dbb650a3fe1e62025-02-03T06:11:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041474175310.1155/S0161171204211383Determination of a nonlinear source term in a diffusion equation with final observationsGongsheng Li0Yichen Ma1Kaitai Li2School of Mathematics and Information Science, Shandong University of Technology, Shandong, Zibo 255049, ChinaSchool of Sciences, Xi'an Jiaotong University, Shannxi, Xi'an 710049, ChinaSchool of Sciences, Xi'an Jiaotong University, Shannxi, Xi'an 710049, ChinaThis paper deals with an inverse problem of determining a nonlinear source term in a quasilinear diffusion equation with overposed final observations. Applying integral identity methods, data compatibilities are deduced by which the inverse source problem here is proved to be reasonable and solvable. Furthermore, with the aid of an integral identity that connects the unknown source terms with the known data, a conditional stability is established.http://dx.doi.org/10.1155/S0161171204211383 |
| spellingShingle | Gongsheng Li Yichen Ma Kaitai Li Determination of a nonlinear source term in a diffusion equation with final observations International Journal of Mathematics and Mathematical Sciences |
| title | Determination of a nonlinear source term in a diffusion equation
with final observations |
| title_full | Determination of a nonlinear source term in a diffusion equation
with final observations |
| title_fullStr | Determination of a nonlinear source term in a diffusion equation
with final observations |
| title_full_unstemmed | Determination of a nonlinear source term in a diffusion equation
with final observations |
| title_short | Determination of a nonlinear source term in a diffusion equation
with final observations |
| title_sort | determination of a nonlinear source term in a diffusion equation with final observations |
| url | http://dx.doi.org/10.1155/S0161171204211383 |
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