Identification of a quasilinear parabolic equation from final data

• Autorzy: Luis A. Fernández , Cecilia Pola
• Języki publikacji: EN

Abstrakty

EN

We study the identification of the nonlinearities A,(→)b and c appearing in the quasilinear parabolic equation y_t − div(A(y)∇y + (→)b(y)) + c(y) = u inΩ × (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 Ω, for each source term u. Our work can be divided into two parts. Firstly, the uniqueness of A,(→)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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 4
• Strony: 859-879

Daty

wydano

2001

otrzymano

2001-06-01

poprawiono

2001-09-01

Twórcy

autor

Luis A. Fernández

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

autor

Cecilia Pola

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

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