Asymptotic behaviour of the~solutions of inverse problems for parabolic equations with irregular coefficients
Sbornik. Mathematics, Tome 188 (1997) no. 3, pp. 371-387
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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.
@article{SM_1997_188_3_a2,
author = {I. A. Vasin and V. L. Kamynin},
title = {Asymptotic behaviour of the~solutions of inverse problems for parabolic equations with irregular coefficients},
journal = {Sbornik. Mathematics},
pages = {371--387},
publisher = {mathdoc},
volume = {188},
number = {3},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_3_a2/}
}
TY - JOUR AU - I. A. Vasin AU - V. L. Kamynin TI - Asymptotic behaviour of the~solutions of inverse problems for parabolic equations with irregular coefficients JO - Sbornik. Mathematics PY - 1997 SP - 371 EP - 387 VL - 188 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1997_188_3_a2/ LA - en ID - SM_1997_188_3_a2 ER -
%0 Journal Article %A I. A. Vasin %A V. L. Kamynin %T Asymptotic behaviour of the~solutions of inverse problems for parabolic equations with irregular coefficients %J Sbornik. Mathematics %D 1997 %P 371-387 %V 188 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1997_188_3_a2/ %G en %F SM_1997_188_3_a2
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/