Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation
(2004) In Journal of Evolution Equations 4(3). p.391-419- Abstract
- We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solutions that exist for indefinite times as well as solutions that blowup in finite time. We also derive an explosion criterion for the equation, and we give a sharp estimate of the existence time for solutions with smooth initial data.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/267744
- author
- Yin, Zhaoyang LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- estimate of existence time, a sharp, blowup phenomena, local well-posedness, global solutions, a nonlinearly dispersive wave equation
- in
- Journal of Evolution Equations
- volume
- 4
- issue
- 3
- pages
- 391 - 419
- publisher
- Birkhäuser Verlag
- external identifiers
-
- wos:000223749300005
- scopus:4444240304
- ISSN
- 1424-3199
- DOI
- 10.1007/s00028-004-0166-7
- language
- English
- LU publication?
- yes
- id
- e4154c45-4494-491f-88f6-b366612eef3c (old id 267744)
- date added to LUP
- 2016-04-01 11:43:19
- date last changed
- 2022-04-05 03:52:18
@article{e4154c45-4494-491f-88f6-b366612eef3c, abstract = {{We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solutions that exist for indefinite times as well as solutions that blowup in finite time. We also derive an explosion criterion for the equation, and we give a sharp estimate of the existence time for solutions with smooth initial data.}}, author = {{Yin, Zhaoyang}}, issn = {{1424-3199}}, keywords = {{estimate of existence time; a sharp; blowup phenomena; local well-posedness; global solutions; a nonlinearly dispersive wave equation}}, language = {{eng}}, number = {{3}}, pages = {{391--419}}, publisher = {{Birkhäuser Verlag}}, series = {{Journal of Evolution Equations}}, title = {{Well-posedness, global solutions and blowup phenomena for a nonlinearly dispersive wave equation}}, url = {{http://dx.doi.org/10.1007/s00028-004-0166-7}}, doi = {{10.1007/s00028-004-0166-7}}, volume = {{4}}, year = {{2004}}, }