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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204211383 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |