Well-posedness results and blow-up for a class of semilinear heat equations

被引：0
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作者：
Dang Van Yen
Ho Duy Binh
Le Dinh Long
Ho Thi Kim Van
机构：
[1] Ho Chi Minh City University of Technology,Faculty of Information Technology
[2] Thu Dau Mot University,Division of Applied Mathematics
来源：
Advances in Difference Equations | / 2021卷
关键词：
Nonlinear heat equation; Existence; Blow-up; 35K05; 35K15; 37K40;
D O I：
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学科分类号：
摘要：
This paper considers the initial value problem for nonlinear heat equation in the whole space RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R}^{N}$\end{document}. The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (like polynomial types).
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