The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Comparison theorems for ultrahyperbolic equations.”

Identification of a quasilinear parabolic equation from final data

Luis a. Fernández, Cecilia Pola (2001)

International Journal of Applied Mathematics and Computer Science

Similarity:

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...