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

Advances in Difference Equations

article

Yen, Dang Van¹  Binh, Ho Duy²  Long, Le Dinh²  Van, Ho Thi Kim² 

[1] Faculty of Information Technology, Ho Chi Minh City University of Technology;Division of Applied Mathematics, Thu Dau Mot University

关键词: Nonlinear heat equation;    Existence;    Blow-up;   

DOI  :  10.1186/s13662-021-03404-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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

【 授权许可】

CC BY