Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data

Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data

Let u be a solution to the Cauchy problem for semilinear parabolic equations(Pm){∂tu+(−Δ)mu=|u|αinRN×(0,∞),u(x,0)=λ+φ(x)>0inRN, where m=1,2,⋯,0

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Veröffentlicht in:Journal of mathematical analysis and applications 2023-01, Vol.517 (2), p.126625, Article 126625
1. Verfasser: Eom, Junyong
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic expansion
Globally positive solution
Higher-order semilinear parabolic equation
Large time behavior
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Zusammenfassung:Let u be a solution to the Cauchy problem for semilinear parabolic equations(Pm){∂tu+(−Δ)mu=|u|αinRN×(0,∞),u(x,0)=λ+φ(x)>0inRN, where m=1,2,⋯,0
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126625