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On the blow-up of solutions to a nonlinear dispersive rod equation

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Author

Summary, in 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.

Department/s

Publishing year

2006

Language

English

Pages

1318-1324

Publication/Series

Journal of Mathematical Analysis and Applications

Volume

323

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • nonlinear dispersive equation
  • convolution inequality
  • blow-up

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 0022-247X