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.
| Original language | English |
|---|---|
| Pages (from-to) | 1318-1324 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 323 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2006 |
Subject classification (UKÄ)
- Mathematics
Free keywords
- nonlinear dispersive equation
- convolution inequality
- blow-up