Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations

被引：4

作者：

Liu, Yang ^{[1
]}

Yu, Tao ^{[2
]}

Li, Wenke ^{[3
]}

机构：

[1] Northwest Minzu Univ, Coll Math & Comp Sci, Lanzhou 730124, Peoples R China

[2] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China

[3] Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 196卷

关键词：

Degenerate parabolic equations; Global well-posedness; Asymptotic behavior; Blow-up; A family of potential wells; NEUMANN PROBLEMS; INDEFINITE; NONEXISTENCE; INSTABILITY;

D O I：

10.1016/j.na.2020.111759

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial-boundary value problem for a class of degenerate parabolic equations is studied. Some new results on global existence of solutions are established by introducing a family of potential wells. In addition, asymptotic behavior and finite time blow-up of solutions are obtained in the case of subcritical initial energy and critical initial energy, respectively. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：14

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