caa a22 4500 605524904 CHVBK 20210128100756.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10958-014-2207-2 doi (NATIONALLICENCE)springer-10.1007/s10958-014-2207-2 Stiepanova Kateryna Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., 83114, Donetsk, Ukraine aut Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential [Elektronische Daten] [Kateryna Stiepanova] We study the extinction property of solutions to the Cauchy-Dirichlet problem for nonlinear parabolic equations of the order 2m with absorption potential in a semibounded cylinder (0,+∞) × Ω, where Ω is a bounded domain in ℝ N , N ≥ 1. The sufficient conditions ensuring the extinction of a solution in a finite time, which depend on N,m, and q (where q is a parameter of the homogeneous nonlinearity in the main part of the equation), are obtained. Springer Science+Business Media New York, 2014 Nonlinear higher-order parabolic equations nationallicence absorption potential nationallicence extinction (vanishing) of the solutions for a finite time nationallicence semiclassical analysis nationallicence Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/3(2015-01-01), 351-368 1072-3374 204:3<351 2015 204 10958 https://doi.org/10.1007/s10958-014-2207-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-014-2207-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stiepanova Kateryna Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., 83114, Donetsk, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 204/3(2015-01-01), 351-368 1072-3374 204:3<351 2015 204 10958