在二维空间中具有指数非线性项的伪抛物方程解的局部适定性  

Local Well-Posedness of Solutions for Pseudo-Parabolic Equations with Exponential Nonlinearity in Two Dimensional Space

作　　者：马美莹 方钟波[1] Ma Meiying;Fang Zhongbo(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2022年第S01期64-69,共6页Periodical of Ocean University of China

基　　金：山东省自然科学基金项目(ZR2019MA072);中央高校基本科研基金项目(201964008)资助。

摘　　要：本文研究一类在二维空间中具有指数非线性项的半线性伪抛物方程Dirichlet初边值问题。借助Trudinger-Moser不等式,结合Faedo-Galerkin逼近技巧和压缩映射原理建立了问题的局部可解性。In this paper, the Dirichlet initial boundary value problem of a semilinear pseudo-parabolic equations with exponential nonlinearity in two-dimensional space is studied. By using Trudinger-Moser inequality, Faedo-Galerkin approximation technique and contraction mapping principle, the local solvability of the problem is established.

关 键 词：半线性伪抛物方程 指数非线性 局部适定性 

分 类 号：O175[理学—数学]