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Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation
Authors:Guowang Chen  Hongxia Xue
Institution:Department of Mathematics, Zhengzhou University, No. 75, Daxue Road, Zhengzhou 450052, People's Republic of China
Abstract:In this paper, we prove that the Cauchy problem for the nonlinear pseudo-parabolic equation
vtαvxxtβvxx+γvx+fx(v)=φx(vx)+g(v)−αg(v)xx
Keywords:Nonlinear pseudo-parabolic equation  Cauchy problem  Global existence of solution  Asymptotic behavior of solution
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