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.
Bibliographic databases:
Document Type:
Article
Language: English
Citation:
Elena V. Tabarintseva, “On an estimate for the modulus of continuity of a nonlinear inverse problem”, Ural Math. J., 1:1 (2015), 87–92
\Bibitem{Tab15}
\by Elena~V.~Tabarintseva
\paper On an estimate for the modulus of continuity of a nonlinear inverse problem
\jour Ural Math. J.
\yr 2015
\vol 1
\issue 1
\pages 87--92
\mathnet{http://mi.mathnet.ru/umj9}
\crossref{https://doi.org/10.15826/umj.2015.1.009}
\zmath{https://zbmath.org/?q=an:1398.65120}
\elib{https://elibrary.ru/item.asp?id=25613599}
Citation in format AMSBIB
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