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Information × Registration Number 0311U003874, 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 класичної та узагальненої розв'язності задач з вільними межами. Доведення існування гладких та узагальнених розв'язків для деяких задач з вільними межами. 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 were obtained new results and were developed new approaches to investigate qualitative properties of solutions of degenerate parabolic equations and of free boundary problems. Results were obtained are as follows: for quasilinear parabolic equations bounds of solutions and its gradients were obtained provided coefficient of equations belong to the Cato class, optimal bounds of solutions to quasilinear parabolic equations with gradient absorption terms were obtained, it was proven the classical solvability in weighted Holder spaces for the two-phase Hele –Shaw problem, classical solvability in multdensional two-phase evolutionary Masket-Verigin problem was proven. Product Description popup.authors Базалій Борис Васильевич Болдовська Ольга Миколаївна 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