Registration Number
0220U101574,
0118U003138
, R & D reports
Title
Properties of singular solutions of differential equations, spectral analysis of difference systems and nonlinear processes simulation
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Head
Rassokhina Yuliia V.,
Registration Date
14-02-2020
Organization
Vasyl' Stus Donetsk National University
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It is obtained sharp conditions for removability of isolated singularities for anisotropic porous medium equation with gradient absorption term; it is proved Harnack inequality and auxiliary pointwise estimates of Keller-Osserman type for double-phase elliptic and parabolic equations with absorption potential; it is proved existence and uniqueness of entropy solution for Dirichlet and Neumann problems; it is developed the method of generalized triplets and correspondent Weil function, it is built generalized triplets for Laplace operator in domains with nonsmooth boundary; it is proved mean value theorems for polyharmonic functions. In the work it is also has been applied the algebrayzation scheme for boundary value problems, which allows to construct more convenient and explicit algorithms of distribution of inhomogeneities in both planes of planar structures simultaneously, including taking into account interaction between inhomogeneities of different types and to study physical phenomena (resonance phenomena), which are related to them.
Product Description
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Buryachenko Kateryna O.
Gorban Yuliya S.
Derkach Volodymyr O.
Kovaliov Ivan M.
Krizhanovski Volodymyr G.
Skrypnik Igor I.
Strelnikov Dmytro I.
Sukhorukova Olena O.
Trofymenko Olha D.
Shan Mariia O.
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2020-04-02
