Alexandria Digital Research Library

Propagation of regularity within solutions to Korteweg-de Vries type equations

Author:
Smith, Derek L.
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:
Nonlinear
Dispersive
Propagation of regularity
Smoothing effect
Korteweg-de Vries
Genres:
Dissertations, Academic and Online resources
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
ARK:
ark:/48907/f3cc10sp
ISBN:
9781369146721
Catalog System Number:
990046969120203776
Rights:
Inc.icon only.dark In Copyright
Copyright Holder:
Derek Smith
File Description
Access: Public access
Smith_ucsb_0035D_13020.pdf pdf (Portable Document Format)