• norsk
    • English
  • English 
    • norsk
    • English
  • Login
View Item 
  •   Home
  • Fakultet for informasjonsteknologi og elektroteknikk (IE)
  • Institutt for matematiske fag
  • View Item
  •   Home
  • Fakultet for informasjonsteknologi og elektroteknikk (IE)
  • Institutt for matematiske fag
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On the Well-Posedness of a Class of Whitham-like Nonlocal Equations with Weak Dispersion

Gjørtz, Henrik Fiskerstrand
Master thesis
Thumbnail
View/Open
13906_FULLTEXT.pdf (1008.Kb)
13906_COVER.pdf (234.4Kb)
URI
http://hdl.handle.net/11250/2352671
Date
2015
Metadata
Show full item record
Collections
  • Institutt for matematiske fag [1432]
Abstract
We consider the Cauchy problems for a class of Whitham-like nonlocal equations with weak dispersion. Specifically, based on classical theory by Kato, local well-posedness in Sobolev spaces of order s>3/2 for this class of equations is proven, both on the real line and on the torus. The possibility of extending to global well-posedness is also discussed, and in one specific case a global ill-posedness result is given. Additionally, the text includes a largely self-contained treatment of the theory of Sobolev spaces of real order, both on R^d and on the one-dimensional torus
Publisher
NTNU

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit
 

 

Browse

ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDocument TypesJournalsThis CollectionBy Issue DateAuthorsTitlesSubjectsDocument TypesJournals

My Account

Login

Statistics

View Usage Statistics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit