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On the blow-up of solutions to a nonlinear dispersive rod equation
Authors:Erik Wahlén
Institution:Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden
Abstract:Using a variational approach we prove an optimal nonlinear convolution inequality. This result is then applied to give criteria for finite-time blow-up of solutions to a nonlinear model equation in elasticity, improving considerably upon recent blow-up results.
Keywords:Convolution inequality  Blow-up  Nonlinear dispersive equation
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