The initial-boundary value problem for a class of third order pseudoparabolic equations

被引：0
|
作者：
Feng, Yanqing [1 ]
Guo, Limin [1 ]
Wang, Zhongying [1 ]
机构：
[1] Changzhou Inst Technol, Sch Sci, Changzhou, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期
关键词：
Third order pseudoparabolic equations; Homeomorphism method; Initial-boundary value problem; Existence and uniqueness theorem;
D O I：
10.1186/s13661-020-01407-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear pseudoparabolic equations is obtained with the help of the homeomorphism method and the initial value method. Furthermore, an existence and uniqueness theorem of the semilinear equation is obtained as a corollary.
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页数：10
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