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

被引：0

作者：

Yen, Dang Van ^{[1
]}

Binh, Ho Duy ^{[2
]}

Long, Le Dinh ^{[2
]}

Van, Ho Thi Kim ^{[2
]}

机构：

[1] Ho Chi Minh City Univ Technol, Fac Informat Technol, Ho Chi Minh City, Vietnam

[2] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Nonlinear heat equation; Existence; Blow-up;

D O I：

10.1186/s13662-021-03404-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the initial value problem for nonlinear heat equation in the whole space RN. The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (like polynomial types).

引用

页数：11

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