Identification of a Quasilinear Parabolic Equation from Final Data

• Autorzy: Fernandez L. A. , Pola C.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

quasilinear parabolic equation; inverse problem; parameter estimation

PL

quasi-liniowy; zagadnienie odwrotności; oznaczenie parametru

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 4
• Strony: 859--879
• Opis fizyczny: Bibliogr. 11 poz., tab., wykr.

Twórcy

autor

Fernandez L. A.

autor

Pola C.

• Dpto. Matematicas, Estadistica y Computacion Universidad de Cantabria, 39071-Santander, Spain,