Cao Yang
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Female
Alma Mater:Jilin University
Degree:Doctoral Degree
School/Department:School of Mathematical Sciences
Discipline:Applied Mathematics
E-Mail:mathcy@dlut.edu.cn
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Indexed by:期刊论文
Date of Publication:2018-05-14
Journal:ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Included Journals:SCIE
ISSN No.:1072-6691
Key Words:Pseudo-parabolic; p-Laplacian; logarithmic nonlinearity; long time behavior
Abstract: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.
