On the blow-up of solutions to a nonlinear dispersive rod equation
(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:
https://lup.lub.lu.se/record/388409
- author
- Wahlén, Erik
LU
- organization
- publishing date
- 2006
- 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
- 2024-10-12 03:24:31
@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}}, }