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Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
Authors:Songzhe Lian  Chunling Cao  Hongjun Yuan
Institution:Institute of Mathematics, Jilin University, Changchun, Jilin 130012, People's Republic of China
Abstract:The authors of this paper study the Dirichlet problem of the following equation
ut−div(|u|ν(x,t)u)=f−|u|p(x,t)−1u.
Keywords:Porous medium equation  Nonstandard growth conditions  Extinction
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