Geodesic
On methods to solve an inverse problems for a nonlinear differential equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 199-209.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a reverse time problem for a nonlinear differential equation. The exact solution is given to be a piecewise smooth function. We suggest an approach for constructing a stable approximate solution to the inverse problem taking into account the a priori information about the exact solution. We obtain sharp error estimates for the approximate solutions.
Keywords: operator equation, reverse time problem, regularization, error estimate. 
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E. V. Tabarintseva. On methods to solve an inverse problems for a nonlinear differential equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 199-209. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a85/

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