Data assimilation for the time-dependent transport problem

Shutyaev, Victor

Banach Center Publications, Tome 51 (2000), p. 213-220 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper we consider the data assimilation problem for a timedependent transport problem in a slab when the initial condition is not known. The spaces of traces are introduced, the solvability of the original initial-boundary value transport problem is studied. The properties of the control operator are investigated, the solvability of the data assimilation problem is proved. The class of iterative methods for solving the problem is considered, and the convergence conditions are studied. The results are closely connected with some issues raised in [4], [14], [15].

Détail

Publié le : 2000-01-01

Zbl 0957.35021

EUDML-ID : urn:eudml:doc:209059

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