Email this article Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev spaces
- Authors: Il’kiv V.S.1, Strap N.I.1
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Affiliations:
- National University “L’vivs’ka politekhnika”
- Issue: Vol 218, No 1 (2016)
- Pages: 1-15
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238155
- DOI: https://doi.org/10.1007/s10958-016-3006-8
- ID: 238155
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Abstract
A nonlocal boundary-value problem for the differential equation with weak nonlinearity and with differential operator B = (B1, …, Bp), where \( {B}_j\equiv {z}_j\frac{\partial }{\partial {z}_j}\;\mathrm{and}\;j=1,\dots, p \) is considered. By using the Nash–Moser iterative scheme, the solvability conditions for the present problem in the Hilbert H¨ormander spaces of functions of many complex variables forming a refined Sobolev scale of spaces is established.
About the authors
Volodymyr S. Il’kiv
National University “L’vivs’ka politekhnika”
Author for correspondence.
Email: ilkivv@i.ua
Ukraine, Lviv
Nataliya I. Strap
National University “L’vivs’ka politekhnika”
Email: ilkivv@i.ua
Ukraine, Lviv
