Exponential decay for a locally damped fifth-order equation posed on the line. (August 2016)
- Record Type:
- Journal Article
- Title:
- Exponential decay for a locally damped fifth-order equation posed on the line. (August 2016)
- Main Title:
- Exponential decay for a locally damped fifth-order equation posed on the line
- Authors:
- Doronin, G.G.
Natali, F. - Abstract:
- Abstract: We prove the exponential decay of the energy related to a locally damped fifth-order equation posed on the whole real line with the initial datum from a bounded set of L 2 . A local smoothing effect in H 2 is established, which is essential to obtain the necessary a priory estimates. Moreover, it is shown that arguments used in the article can be applied to prove the exponential decay rate of solutions for the Korteweg–de Vries equation with a similar localized damping term provided the initial data are uniformly bounded in L 2 . This last fact improves some previous results.
- Is Part Of:
- Nonlinear analysis. Volume 30(2016)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 30(2016)
- Issue Display:
- Volume 30, Issue 2016 (2016)
- Year:
- 2016
- Volume:
- 30
- Issue:
- 2016
- Issue Sort Value:
- 2016-0030-2016-0000
- Page Start:
- 59
- Page End:
- 72
- Publication Date:
- 2016-08
- Subjects:
- Fifth-order equation -- Exponential decay -- Bourgain spaces
Nonlinear functional analysis -- Periodicals
Analyse fonctionnelle non linéaire -- Périodiques
Nonlinear functional analysis
Periodicals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/14681218 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.nonrwa.2015.11.005 ↗
- Languages:
- English
- ISSNs:
- 1468-1218
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.315200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 2230.xml