| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
19 April 2024 |
|
| | | |
|
Article overview
| |
|
Applic. Analysis, 81, N4, (2002), 929-937 | A.G.Ramm
; | Date: |
31 Dec 2002 | Journal: | Applic. Analysis, 81, N4, (2002), 929-937 | Subject: | Mathematical Physics; Numerical Analysis MSC-class: 35R30, 81U40; Secondary: 47A40 | math-ph math.MP math.NA | Abstract: | Completeness of the set of products of the derivatives of the solutions to the equation $(av’)’-{l}v=0, v(0,l)=0$ is proved. This property is used to prove the uniqueness of the solution to an inverse problem of finding conductivity in the heat equation $dot{u}=(a(x)u’)’, u(x,0)=0, u(0,t)=0, u(1,t)=f(t)$ known for all $t>0$, from the heat flux $a(1)u’(1,t)=g(t)$. Uniqueness of the solution to this problem is proved. The proof is based on Property C. It is proved the inverse that the inverse problem with the extra data (the flux) measured at the point, where the temperature is kept at zero, (point $x=0$ in our case) does not have a unique solution, in general. | Source: | arXiv, math-ph/0301045 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |