This article is cited in 4 papers

On an estimate for the modulus of continuity of a nonlinear inverse problem

Elena V. Tabarintseva

South Ural State University, Chelyabinsk, Russia

Abstract: 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: Parabolic equation, Inverse problem, Modulus of continuity of the inverse operator, Approximate method, Error estimate.

Language: English

DOI: 10.15826/umj.2015.1.009

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