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.
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页数：14
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