Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential

Verfasser / Beitragende:
[Kateryna Stiepanova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 204/3(2015-01-01), 351-368
Format:
Artikel (online)
ID: 605524904
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024 7 0 |a 10.1007/s10958-014-2207-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-014-2207-2 
100 1 |a Stiepanova  |D Kateryna  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., 83114, Donetsk, Ukraine  |4 aut 
245 1 0 |a Extinction of solutions of higher order parabolic equations with double nonlinearity and degenerate absorption potential  |h [Elektronische Daten]  |c [Kateryna Stiepanova] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Nonlinear higher-order parabolic equations  |2 nationallicence 
690 7 |a absorption potential  |2 nationallicence 
690 7 |a extinction (vanishing) of the solutions for a finite time  |2 nationallicence 
690 7 |a semiclassical analysis  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/3(2015-01-01), 351-368  |x 1072-3374  |q 204:3<351  |1 2015  |2 204  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-014-2207-2  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-014-2207-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Stiepanova  |D Kateryna  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., 83114, Donetsk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/3(2015-01-01), 351-368  |x 1072-3374  |q 204:3<351  |1 2015  |2 204  |o 10958