Blow-up of solutions to a nonlinear dispersive rod equation
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- Zhou, Y. Calc. Var. (2006) 25: 63. doi:10.1007/s00526-005-0358-1
In this paper, firstly we find the best constant for a convolution problem on the unit circle via a variational method. Then we apply the best constant on a nonlinear rod equation to give sufficient conditions on the initial data, which guarantee finite time singularity formation for the corresponding solutions.