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,...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2022-12-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9983 |