Semilinear heat equation with singular terms

The main goal of this paper is to analyze the existence and nonexistence as well as the regularity of positive solutions for the following initial parabolic problem $$ \begin{cases} \partial_tu-\Delta u=\displaystyle\mu\frac{u}{|x|^{2}}+\frac{f}{u^{\sigma}}&\mbox{in } \Omega_T:=\Omega\times(0,...

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Bibliographic Details
Main Authors: Mohamed Mahmoud Ould Khatri, Ahmed Youssfi
Format: Article
Language:English
Published: University of Szeged 2022-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9983