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LOCATION:Moscow Russia\, 3\, Ordzhonikidze st.\, 邪ud.495邪
DESCRIPTION:Localization properties of boundary regimes with infinite peaking as t tends to Tinfinity for some parabolic equations\, admitting barrier technique\, were studied since 60-th of 20 century by聽 A.A. Samarskii\, I.M.Sobol'\, S.P. Kurdyunov\,V.A. Galaktionov\, B.H. Gilding\, M.A. Herrero\,聽聽 A.S.Kalashnikov\, C.Cortazar\, M.Elgueta and other. In 1999 A.E Shishkov proposed new approach to the study of mentioned problem\,which do not use any variant of barrier聽technique ( any comparison theorems) and is based on some adaptation of local energy聽estimates method. In the series of papers of V.A.Galaktionov and A.E. Shishkov mentioned聽approach was adapted for obtaining of sharp localization conditions of boundary regimes with strong peaking for higher order quasi-linear parabolic PDE. In present talk we will discuss new results about sharp upper estimates of final profile of solutions of parabolic PDE near to the blow-up time of boundary data\, which generate localized peaking regime.聽
DTSTART:20190319T102200Z
DTEND:20190319T142200Z
SUMMARY:Seminar on nonlinear problems of PDE and mathematical physics (chief prof. A. E. Shishkov)
URL;VALUE=URI:/media/events/seminar-on-nonlinear-problems-of-pde-and-mathematical-physics-chief--prof-a-e-shishkov/
DTSTAMP:20250607T232047Z
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