Geodesic
On an estimate for the modulus of continuity of a~nonlinear inverse problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 253-257

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A reverse time problem is considered for a semilinear 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 semilinear inverse problem in terms of the modulus of continuity of the corresponding linear problem.
Mots-clés : parabolic equation
Keywords: inverse problem, modulus of continuity of the inverse operator, error estimate. 
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     title = {On an estimate for the modulus of continuity of a~nonlinear inverse problem},
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I. V. Tabarintseva. On an estimate for the modulus of continuity of a~nonlinear inverse problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 253-257. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a24/