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Information × Registration Number 0214U000063, 0109U002771 , R & D reports Title Nonlinear problems of mathematical physics in free boundary domain, qualitative properties of solutions of nonlinear elliptic and parabolic equations. popup.stage_title Head Tedeev Anatoli Fedorovich, Registration Date 15-01-2014 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 Asymptotically optimal estimates of a solution to quasilinear doubly degenerate parabolic equations on noncompact manifolds, local and global estimates of the porous media equation in cone-like domains were obtained. The continuity of solutions to degenerate and singular parabolic equations with coefficients from Kato classes was proved. For quasilinear anisotropic parabolic and elliptic equations of the special structure it was found the precise condition for the removability of isolated singularities on manifolds. The existence of the local in time solution to the two-phase multidimensional Stefan problem for degenerate parabolic equations of the filtration type was proved. Product Description popup.authors Васильєва Наталя Васильївна Дегтярьов Сергій Петрович Краснощок Микола Валерьевич Маркашева Віра Олексіївна Скрипнік Ігор Ігорович. Таранець Роман Михайлович popup.nrat_date 2020-04-02 Close