Geodesic
Asymptotic behaviour of the solutions of inverse problems for parabolic equations with irregular coefficients
Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 371-387 
I. A. Vasin; V. L. Kamynin. Asymptotic behaviour of the solutions of inverse problems for parabolic equations with irregular coefficients. Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 371-387. http://geodesic.mathdoc.fr/item/SM_1997_188_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of asymptotic proximity as $t\to\infty$ of the solutions of the inverse problem for a parabolic equation with an unknown right-hand side and the solution of the limiting stationary inverse problem in a bounded domain is studied. The overdetermination conditions are given in integral form. The conditions on the proximity of the coefficients of the stationary and the non-stationary problems are formulated in a certain very weak sense, which allows, in particular, oscillations of the coefficients.

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