Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces

The Cauchy problem for the Hardy-Hénon parabolic equation is studied in the critical and subcritical regime in weighted Lebesgue spaces on the Euclidean space \(\mathbb{R}^d\). Well-posedness for singular initial data and existence of non-radial forward self-similar solution of the problem are previ...

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Veröffentlicht in:	arXiv.org 2021-04
Hauptverfasser:	Chikami, Noboru, Ikeda, Masahiro, Taniguchi, Koichi
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy problems Euclidean geometry Euclidean space Self-similarity Well posed problems
Online-Zugang:	Volltext
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