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 Mat. Sb., 1991, Volume 182, Number 8, Pages 1200–1210 (Mi msb1349)

On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains

V. F. Akulova, A. E. Shishkovb

a Makeevsky Engineering Building Institute
b Institute of Applied Mathematics and Mechanics, Academy of Sciences of UkSSR

Abstract: Lower bounds are established for the rate of growth of generalized, locally bounded solutions of mixed problems for various classes of quasilinear degenerate parabolic equations both of second and higher orders in unbounded spatial domains.

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English version:
Mathematics of the USSR-Sbornik, 1992, 73:2, 557–567

Bibliographic databases:

UDC: 517.9
MSC: Primary 35K60, 35K65, 35B40; Secondary 35R99

Citation: V. F. Akulov, A. E. Shishkov, “On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains”, Mat. Sb., 182:8 (1991), 1200–1210; Math. USSR-Sb., 73:2 (1992), 557–567

Citation in format AMSBIB
\Bibitem{AkuShi91} \by V.~F.~Akulov, A.~E.~Shishkov \paper On asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains \jour Mat. Sb. \yr 1991 \vol 182 \issue 8 \pages 1200--1210 \mathnet{http://mi.mathnet.ru/msb1349} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1128696} \zmath{https://zbmath.org/?q=an:0774.35011|0765.35006} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..73..557A} \transl \jour Math. USSR-Sb. \yr 1992 \vol 73 \issue 2 \pages 557--567 \crossref{https://doi.org/10.1070/SM1992v073n02ABEH002562} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1992KF43400016} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Shishkov A., “Dynamics of Support Geometry for Generalized Solutions to a Quasi-Linear Divergent Parabolic Equation of Higher-Order”, Differ. Equ., 29:3 (1993), 460–469
2. Kurta V., “On the Uniqueness of Solutions for the Cauchy-Problem for the 2nd-Order Quasi-Linear Parabolic Equations”, Dokl. Akad. Nauk, 337:5 (1994), 574–576
3. A. E. Shishkov, A. G. Shchelkov, “Blow-up boundary regimes for general quasilinear parabolic equations in multidimensional domains”, Sb. Math., 190:3 (1999), 447–479
4. Galaktionov, VA, “Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equations”, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 133 (2003), 1075
5. Domanskaya G., Kolin'ko M., Lavrenyuk S., “A Parabolic Variational Inequality in Unbounded Domains”, Differ. Equ., 42:1 (2006), 68–87
6. Medvid' I. M., “Higher-Order Parabolic Variational Inequality in Unbounded Domains”, Ukr. Math. J., 60:7 (2008), 1114–1135
7. Gilimshina V.F., “On the decay of a solution of a nonuniformly parabolic equation”, Differential Equations, 46:2 (2010), 239–254
8. V. F. Vil'danova, “On decay of solution to linear parabolic equation with double degeneracy”, Ufa Math. J., 8:1 (2016), 35–50
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