Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains

We study an asymptotic behavior of solutions to elliptic equations of the second order in a two dimensional exterior domain. Under the assumption that the solution belongs to L q with q ∈ [ 2 , ∞ ) , we prove a pointwise asymptotic estimate of the solution at the spatial infinity in terms of the beh...

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Veröffentlicht in:	Mathematische annalen 2021-08, Vol.380 (3-4), p.1105-1117
Hauptverfasser:	Kozono, Hideo, Terasawa, Yutaka, Wakasugi, Yuta
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Coefficients Domains Elliptic functions Infinity Liouville theorem Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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