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

Wahlén, Erik LU (2006) In Journal of Mathematical Analysis and Applications 323(2). p.1318-1324
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
nonlinear dispersive equation, convolution inequality, blow-up
in
Journal of Mathematical Analysis and Applications
volume
323
issue
2
pages
1318 - 1324
publisher
Elsevier
external identifiers
  • wos:000241132100042
  • scopus:33750610750
ISSN
0022-247X
DOI
10.1016/j.jmaa.2005.11.050
language
English
LU publication?
yes
id
dcea80e2-bc1c-4304-8ca2-3bcc3c171083 (old id 388409)
date added to LUP
2016-04-01 16:46:36
date last changed
2022-01-28 22:01:26
@article{dcea80e2-bc1c-4304-8ca2-3bcc3c171083,
  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.}},
  author       = {{Wahlén, Erik}},
  issn         = {{0022-247X}},
  keywords     = {{nonlinear dispersive equation; convolution inequality; blow-up}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{1318--1324}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Mathematical Analysis and Applications}},
  title        = {{On the blow-up of solutions to a nonlinear dispersive rod equation}},
  url          = {{http://dx.doi.org/10.1016/j.jmaa.2005.11.050}},
  doi          = {{10.1016/j.jmaa.2005.11.050}},
  volume       = {{323}},
  year         = {{2006}},
}