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Information × Registration Number 0220U100818, 0116U002032 , R & D reports Title Spectral and qualitative properties of elliptic and parabolic boundary value problems and their solutions popup.stage_title Head Skrypnik Igor I., Доктор фізико-математичних наук Registration Date 28-01-2020 Organization Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine popup.description2 Analogs of Keller-Osserman estimates for solutions of the anisotropic porous medium equation are obtained. New results on pointwise potential estimates for solutions of nonlinear elliptic high-order equations are presented. A description is given for peaking regimes to certain classes of second-order quasilinear divergent parabolic equations. A review of new results on nonlinear eigenvalue problems in optical and mechanical resonators is presented. The spectral properties of quantum graphs and the matrix Schrödinger operator with δ-interactions are described. The results on the solvability of initial-boundary value problems for the semilinear subdiffusion equation in multidimensional domains are presented. Physico-mathematical models of radiant heat transfer, gas filtration in wells, and pressure distribution during blood circulation are considered. Product Description popup.authors Yevgenieva Yevgeniia O. Vasyl'yeva Nataliya V. Voitovych Mykhailo V. Karabash Illya M. Krasnoshchok Mykola V. Malamud Mark M. Manujlenko Roman I. Taranets Roman M. Tkachenko Valerii M. Shyshkov Andrii Ye. popup.nrat_date 2020-04-02 Close