Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
(2005) In Annales de L'Institut Henri Poincaré 22(6). p.783-797- Abstract
- The generalized Korteweg-de Vries equation has the property that solutions with initial data that are analytic in a strip in the complex plane continue to be analytic in a strip as time progresses. Established here are algebraic lower bounds on the possible rate of decrease in time of the uniform radius of spatial analyticity for these equations. Previously known results featured exponentially decreasing bounds.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/218931
- author
- Bona, J L ; Grujic, Z and Kalisch, Henrik LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Annales de L'Institut Henri Poincaré
- volume
- 22
- issue
- 6
- pages
- 783 - 797
- publisher
- Elsevier
- external identifiers
-
- wos:000232768100004
- scopus:25644444056
- ISSN
- 0294-1449
- DOI
- 10.1016/j.anihpc.2004.12.004
- language
- English
- LU publication?
- yes
- id
- a6e0baba-c764-4eeb-be05-f4210879654a (old id 218931)
- date added to LUP
- 2016-04-01 17:03:13
- date last changed
- 2022-04-07 20:26:18
@article{a6e0baba-c764-4eeb-be05-f4210879654a, abstract = {{The generalized Korteweg-de Vries equation has the property that solutions with initial data that are analytic in a strip in the complex plane continue to be analytic in a strip as time progresses. Established here are algebraic lower bounds on the possible rate of decrease in time of the uniform radius of spatial analyticity for these equations. Previously known results featured exponentially decreasing bounds.}}, author = {{Bona, J L and Grujic, Z and Kalisch, Henrik}}, issn = {{0294-1449}}, language = {{eng}}, number = {{6}}, pages = {{783--797}}, publisher = {{Elsevier}}, series = {{Annales de L'Institut Henri Poincaré}}, title = {{Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation}}, url = {{http://dx.doi.org/10.1016/j.anihpc.2004.12.004}}, doi = {{10.1016/j.anihpc.2004.12.004}}, volume = {{22}}, year = {{2005}}, }