| Title | On the blow-up of solutions to a nonlinear dispersive rod equation |
| Authors | Erik Wahlén |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | Journal of Mathematical Analysis and Applications |
| Year | 2006 |
| Volume | 323 |
| Issue | 2 |
| Pages | 1318 - 1324 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Elsevier |
| Abstract English | 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 | nonlinear dispersive equation, convolution inequality, blow-up, |
| ISBN/ISSN/Other | ISSN: 0022-247X |
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Last update: 2013-04-11
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