Inversion of mapping and inverse problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 382-432

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We expose some selected results in finite-dimensional mapping theory and their connections with theory of inverse problems for evolution equations. We obtain new representations of solutions of multidimensional nonlinear evolution equations and those of their coefficients.
Keywords: inverse problems, ill-posed problems, representations of solutions, systems of differential equations, finite-dimensional mapping.
Mots-clés : evolution equations
@article{SEMR_2012_9_a28,
     author = {Yu. E. Anikonov and N. B. Aiupova and V. G. Bardakov and V. P. Golubyatnikov and M. V. Neshchadim},
     title = {Inversion of mapping and inverse problems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {382--432},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a28/}
}
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Yu. E. Anikonov; N. B. Aiupova; V. G. Bardakov; V. P. Golubyatnikov; M. V. Neshchadim. Inversion of mapping and inverse problems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 382-432. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a28/