年間 12 号発行
ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337
インデックス付け者
On weak extensions of extreme problems for nonlinear operator equations. Part I. Weak solutions
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要約
In the paper weak extensions of extreme problems for objects, which are described by nonlinear operator equations with the operators being densely defined and, strictly speaking, not maximal, are investigated. Theorems of the existence of strong and weak solutions are proved. Examples of classes of maps are given.
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Kasyanov Pavlo O., Toscano Luisa, Zadoianchuk Nina V., A criterion for the existence of strong solutions for the 3D Navier–Stokes equations, Applied Mathematics Letters, 26, 1, 2013. Crossref
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Zgurovsky Michael Z., Kasyanov Pavlo O., Advances in the 3D Navier-Stokes Equations, in Qualitative and Quantitative Analysis of Nonlinear Systems, 111, 2018. Crossref
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Kasyanov Pavlo O., Toscano Luisa, Zadoianchuk Nina V., Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations, in Continuous and Distributed Systems, 211, 2014. Crossref
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Kasyanov P.O., Mel'nik V.S., Toscano S., Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued wλ0-pseudomonotone maps, Journal of Differential Equations, 249, 6, 2010. Crossref