- Tytuł:
- Identification of a Quasilinear Parabolic Equation from Final Data
- Autorzy:
-
Fernandez, L. A.
Pola, C. - Powiązania:
- https://bibliotekanauki.pl/articles/908074.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
quasi-liniowy
zagadnienie odwrotności
oznaczenie parametru
quasilinear parabolic equation
inverse problem
parameter estimation - Opis:
- We study the identification of the nonlinearities A, vec{b} and c appearing in the quasilinear parabolic equation y_t - div (A(y) nabla y + vec{b} (y)) + c(y) = u in Omega x (0,T), assuming that the solution of an associated boundary value problem is known at the terminal time, y(x,T), over a (probably small) subset of Omega, for each source term u. Our work can be divided into two parts. Firstly, the uniqueness of A, vec{b} and c is proved under appropriate assumptions. Secondly, we consider a finite-dimensional optimization problem that allows for the reconstruction of the nonlinearities. Some numerical results in the one-dimensional case are presented, even in the case of noisy data.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 859-879
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł