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Well-posedness for the fifth-order KdV equation in the energy space
Fifth-order KdV equation fifth-order water-waves models initial value problem
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2012/5/9
We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...
Well-posedness for the fifth order KdV equation
Well-posedness KdV equation
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2010/11/23
We consider the Cauchy problem of the fifth order KdV equation with low regularity initial data. We cannot apply the iteration argument to this problem when initial data is given in the Sobolev space...