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

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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. 
@article{SEMR_2017_14_a85,
     author = {E. V. Tabarintseva},
     title = {On methods to solve an inverse problems for a nonlinear differential equation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {199--209},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a85/}
}
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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/