首页|Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation
Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation
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This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian,which could be proposed as a model for the epitaxial growth of thin films.By using the variational method and the logarithmic type Sobolev inequality,we give some threshold results for blow-up solutions and global solutions,which could be classified by the initial energy.The asymptotic estimates about blow-up time and decay estimate of weak solutions are obtained.
High order parabolic equationBlow-up timeDecay estimateGlobal existenceLogarithmic type p-Laplacian
LI Ping、LI Feng-jie
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College of Science,China University of Petroleum,Qingdao 266580,China
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