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Information × Registration Number 0311U003873, 0109U002771 , R & D reports Title Nonlinear problems of mathematical physics in free boundary domain, qualitative properties of solutions nonlinear elliptic and parabolic equations. popup.stage_title Вивчення властивостей розв'язків вироджених параболічних рівнянь з абсорбцією. Вивчення поведінки розв'язків за малого та за великого часу. Head Tedeev Anatoli Fedorovich, Registration Date 13-07-2011 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 It was developed mathematical methods of investigation which were applied to obtain new results in modern theory of nonlinear degenerate parabolic equations and in free boundary problems. Following results were obtained: universal estimates near the blow-up time for nonstationary equations with source terms, it was proven the necessary Viner's condition of regularity of boundary point, it were obtained conditions the support shrinking to be hold, for elliptic-parabolic free boundary problem the existence of smooth interfaces was proven, the asymptotic behavior near the angular points for initial-boundary problem for the heat equation was proven, the stability result in weighed Sobolev spaces of free boundary problem in plasticity theory was obtained. Product Description popup.authors Базалій Борис Васильевич Болдовська Ольга Миколаївна Васильєва Наталя Васильївна Дегтярьов Сергій Петрович Краснощок Микола Валерьевич Маркашева Віра Олексіївна Мартиненко Олександр Валерьевич Скрипнік Ігор Ігорович. Таранець Роман Михайлович popup.nrat_date 2020-04-02 Close