Geodesic
On an estimate for the modulus of continuity of a nonlinear inverse problem
Ural mathematical journal, Tome 1 (2015) no. 1, pp. 87-92

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A reverse time problem is considered for a semi-linear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator. As a consequence, two-sided estimates are established for the modulus of continuity of a semi-linear inverse problem in terms of the modulus of continuity of the corresponding linear problem.
Keywords: Inverse problem, Modulus of continuity of the inverse operator, Approximate method, Error estimate.
Mots-clés : Parabolic equation 
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Elena V. Tabarintseva. On an estimate for the modulus of continuity of a nonlinear inverse problem. Ural mathematical journal, Tome 1 (2015) no. 1, pp. 87-92. http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a8/