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Information × Registration Number 0211U001049, 0106U000471 , R & D reports Title Theory of operator-differential equations over Archimedean and Non-Archimedean fields popup.stage_title Head Gorbachuk Myroslav L'vovych, Registration Date 13-01-2011 Organization Institute of mathematics NAS of Ukraine popup.description2 It was described the solutions of parabolic and elliptic operator differential equations on an open semiaxis, the smoothness rise theorems for mild solutions were proved, the correctness of the Cauchy (Dirichlet) problem in the parabolic (elliptic) case was investigated, the methods for approximation of the solutions to these problems were presented. The J-self-adjoint operators with stable C-symmetry were described and their spectrum was studied. It was also developed the singular perturbation theory of self-adjoint operators in the scales of Hilbert spaces. The representation of solutions to the Cauchy problem for evolution equations of quantum particles was obtained. Product Description popup.authors Артемиченко Ж.Я. Герасименко В.І. Горбачук В.І. Горбачук М.Л. Грушка Я.І. Золотенко Г.Ф. Кужель С.А. Рябуха Т.В. Торба С.М. popup.nrat_date 2020-04-02 Close