Abstract:
The Cauchy problem with non-negative continuous initial function for the equation
ut=Δum−up,(x,t)∈S=RN×R+,
is considered for 0<p<1, p<m. For generalized solutions of this problem with initial data increasing at infinity several results on their behaviour as t→∞ are established.
Citation:
A. L. Gladkov, “Behaviour of solutions of certain quasilinear parabolic equations with power-type non-linearities”, Sb. Math., 191:3 (2000), 341–358
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\by A.~L.~Gladkov
\paper Behaviour of solutions of certain quasilinear parabolic equations with power-type non-linearities
\jour Sb. Math.
\yr 2000
\vol 191
\issue 3
\pages 341--358
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Linking options:
https://www.mathnet.ru/eng/sm462
https://doi.org/10.1070/sm2000v191n03ABEH000462
https://www.mathnet.ru/eng/sm/v191/i3/p25
This publication is cited in the following 5 articles:
Kon'kov A.A., Shishkov A.E., “On Large Time Behavior of Solutions of Higher Order Evolution Inequalities With Fast Diffusion”, J. Math. Anal. Appl., 506:2 (2022), 125722
Kon'kov A., Shishkov A., “On Stabilization of Solutions of Higher Order Evolution Inequalities”, Asymptotic Anal., 115:1-2 (2019), 1–17
José Pedro Moreno, Rolf Schneider, “Diametrically complete sets in Minkowski spaces”, Isr. J. Math., 191:2 (2012), 701
Prokhozhii, SA, “On the vanishing of solutions of quasilinear parabolic equations”, Differential Equations, 42:10 (2006), 1462
Khramtsov, OV, “Relative stabilization of a nonlinear degenerate parabolic equation”, Differential Equations, 37:12 (2001), 1736
Citation in format AMSBIB
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