Geodesic
On a nonlinear differential equation in a Banach space
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 332-337

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An Navier-Stokes type equation is considered for which a generalized solution is constructed in the form of a series in powers of a specially introduced parameter and its convergence is proved. An example of a mixed problem for the Burgers equation is given.
Keywords: equations of Navier-Stokes type, Burgers equation, generalized solution, holomorphic dependence of a solution on a parameter. 
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     author = {M. I. Besova and V. I. Kachalov},
     title = {On a nonlinear differential equation in a {Banach} space},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {332--337},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a28/}
}
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M. I. Besova; V. I. Kachalov. On a nonlinear differential equation in a Banach space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 332-337. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a28/