On the blow-up of solutions to a nonlinear dispersive rod equation |
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Authors: | Erik Wahlé n |
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Affiliation: | Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden |
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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. |
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Keywords: | Convolution inequality Blow-up Nonlinear dispersive equation |
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