Registration Number
0213U006639,
0113U006060
, R & D reports
Title
Modern theory of evolution problems: fractional equations, integrated semigroups, numerical analysis, spectral theory
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Head
Kochubei Anatoly Naumovich,
Registration Date
18-12-2013
Organization
Institute of mathematics NAS of Ukraine
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The results on new classes of evolution equations, including those of fractional type, and related problems of spectral theory and operator theory are stated. In particular, the Cauchy problem for the abstract fractional hyperbolic equations in Banach spaces and fractional hyperbolic systems is studied. The behavior at infinity of the orbits of a uniformly stable semigroup which is not uniformly exponentially stable is investigated. Asymptotic expansions of solutions of parabolic equations in non-cylindrical domain near a cuspidal point are constructed. We study the one-dimensional Schrodinger operators with potentials being generalized functions of the first order. Extensions of quasidifferential operators are described in terms of boundary conditions. A theory of elliptic systems in Douglas-Nirenberg sense, based on the scale of Hilbert spaces with a function parameter is developed. The description of all Hilbert functional spaces which are interpolation for the couples of Sobolev Hilbert spaces is obtained.
Product Description
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Антонюк Олександра Вікторівна
Горбачук Мирослав Львович
Горюнов Андрій Сергійович
Михайлець Володимир Андрійович
Молибога Володимир Миколайович
Мурач Олександр Олександрович
Романенко Раїса Василівна
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2020-04-02
