A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy. Issue 1 (14th February 2019)
- Record Type:
- Journal Article
- Title:
- A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy. Issue 1 (14th February 2019)
- Main Title:
- A Class of Fourth Order Damped Wave Equations with Arbitrary Positive Initial Energy
- Authors:
- Liu, Yang
Mu, Jia
Jiao, Yujuan - Abstract:
- Abstract: In this paper, we study the initial boundary value problem for a class of fourth order damped wave equations with arbitrary positive initial energy. In the framework of the energy method, we further exploit the properties of the Nehari functional. Finally, the global existence and finite time blow-up of solutions are obtained.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 62:Issue 1(2019)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 62:Issue 1(2019)
- Issue Display:
- Volume 62, Issue 1 (2019)
- Year:
- 2019
- Volume:
- 62
- Issue:
- 1
- Issue Sort Value:
- 2019-0062-0001-0000
- Page Start:
- 165
- Page End:
- 178
- Publication Date:
- 2019-02-14
- Subjects:
- fourth order damped wave equations, -- global existence, -- finite time blow-up, -- arbitrary positive initial energy
Primary 35A01, -- 35B44, -- 35L35
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S0013091518000330 ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 17621.xml