Propagation of regularity within solutions to Korteweg-de Vries type equations
- Degree Grantor:
- University of California, Santa Barbara. Mathematics
- Degree Supervisor:
- Gustavo Ponce
- Place of Publication:
- [Santa Barbara, Calif.]
- Publisher:
- University of California, Santa Barbara
- Creation Date:
- 2016
- Issued Date:
- 2016
- Topics:
- Mathematics
- Keywords:
- Propagation of regularity,
Smoothing effect,
Nonlinear,
Korteweg-de Vries, and
Dispersive - Genres:
- Online resources and Dissertations, Academic
- Dissertation:
- Ph.D.--University of California, Santa Barbara, 2016
- Description:
For many dispersive equations, decay of the initial data leads to increased regularity of the solution for positive times. The unidirectional dispersion of the k-generalized Korteweg-de Vries equation produces a propagation of regularity phenomena. We show that similar results hold for fifth and higher order KdV equations, as well as for quasilinear KdV type equations.
- Physical Description:
- 1 online resource (86 pages)
- Format:
- Text
- Collection(s):
- UCSB electronic theses and dissertations
- Other Versions:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10159744
- ARK:
- ark:/48907/f3cc10sp
- ISBN:
- 9781369146721
- Catalog System Number:
- 990046969120203776
- Copyright:
- Derek Smith, 2016
- Rights:
In Copyright- Copyright Holder:
- Derek Smith
| File | Description |
|---|---|
| Access: Public access | |
| Smith_ucsb_0035D_13020.pdf | pdf (Portable Document Format) |