A critical non-homogeneous heat equation with weighted source

Some qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source \begin{align*} |x|^{-2}\partial _tu=\Delta u+|x|^{\sigma }u^p, \quad (x,t)\in {\mathbb {R}}^N\times (0,T), \end{align*} are obtained, in the range of expone...

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Bibliographic Details
Main Authors: Razvan Gabriel Iagar, Ariel Sánchez
Format: Article
Language:English
Published: Cambridge University Press
Series:European Journal of Applied Mathematics
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S095679252500004X/type/journal_article
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