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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：女
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：应用数学
电子邮箱：mathcy@dlut.edu.cn
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INITIAL BOUNDARY VALUE PROBLEM FOR A MIXED PSEUDO-PARABOLIC p-LAPLACIAN TYPE EQUATION WITH LOGARITHMIC NONLINEARITY
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论文类型：期刊论文
发表时间：2018-05-14
发表刊物：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
收录刊物：SCIE
ISSN号：1072-6691
关键字：Pseudo-parabolic; p-Laplacian; logarithmic nonlinearity; long time behavior
摘要：We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. Constructing a family of potential wells and using the logarithmic Sobolev inequality, we establish the existence of global weak solutions, we consider two cases: global boundedness and blowing-up at infinity. Moreover, we discuss the asymptotic behavior of solutions and give some decay estimates and growth estimates.