文章基本信息

标题：The initial-boundary value problem for a class of third order pseudoparabolic equations
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作者：Yanqing Feng ; Limin Guo ; Zhongying Wang 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13661-020-01407-3
出版社：Hindawi Publishing Corporation
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.
关键词：Third order pseudoparabolic equations ; Homeomorphism method ; Initial-boundary value problem ; Existence and uniqueness theorem