On the blow-up of solutions to a nonlinear dispersive rod equation
Författare
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.
Avdelning/ar
- Matematik (naturvetenskapliga fakulteten)
- Partial differential equations
Publiceringsår
2006
Språk
Engelska
Sidor
1318-1324
Publikation/Tidskrift/Serie
Journal of Mathematical Analysis and Applications
Volym
323
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- nonlinear dispersive equation
- convolution inequality
- blow-up
Status
Published
Forskningsgrupp
- Partial differential equations
ISBN/ISSN/Övrigt
- ISSN: 0022-247X