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Information × Registration Number 0215U002571, 0111U000481 , R & D reports Title Local,global and asymptotic properties of solutions of singular, spectral and non-classical problems for elliptic and evolution equations and variational inequations popup.stage_title Head Shishkov Andrey Evgenievich, Registration Date 13-01-2016 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 The report is devoted to the development of methods for the study of solvability and qualitative properties of solutions of nonlinear eliptic and parabolic boundary value problems. We study the regularity of generalized solutions, we investigate the properties of singular and supersingular solutions, the behavior of solutions in unbounded domains, the evolution of support of degenerate quasilinear parabolic equations. Some aspects of the theory of averaging of variational and boundary value problems are developed. The spectral properties of the boundary value problems for systems of ordinary differential equations, in particular, for the Dirac operator on a finite interval and the half-line are studied. The issues of completeness and the basis property of systems of root vectors obtained results on spectral synthesis of dissipative boundary value problems have been studied. The spectral function and Pseudospectral non-Hamiltonian canonical systems on the half has been described. Product Description popup.authors Карабаш Ілля Михайлович Ковалевський Олександр Альбертович Маламуд Марк Мордкович Могилевський Водим Йосипович popup.nrat_date 2020-04-02 Close