- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- A priori LIpschitz estimates for unbounded solutions...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
A priori LIpschitz estimates for unbounded solutions of local and nonlocal Hamilton-Jacobi viscous equations with Ornstein-Uhlenbeck Operator Ley, Olivier
Description
In this work, in collaboration with Emmanuel Chasseigne (Tours) and Thi Tuyen Nguyen (Rennes), we establish a priori Lipschitz estimates for unbounded solutions of viscous Hamilton-Jacobi equations in presence of a Ornstein-Uhlenbeck drift. The first type of equations we consider are local. The Ornstein-Uhlenbeck drift is associated with a general diffusion operator. This part is a generalization of an earlier work of Fujita, Ishii & Loreti (2006). The second type of equations we deal with are nonlocal. The Ornstein-Uhlenbeck term is associated with a integro-differential operator of Fractional Laplacian type. In both case, we obtain some local Lipschitz estimates which are independent of the L^\infty norm of the solution (which is supposed to have at most an exponential growth). These results can be applied to prove the large time behavior of the solutions.
Item Metadata
Title |
A priori LIpschitz estimates for unbounded solutions of local and nonlocal Hamilton-Jacobi viscous equations with Ornstein-Uhlenbeck Operator
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2017-04-03T16:09
|
Description |
In this work, in collaboration with Emmanuel Chasseigne (Tours)
and Thi Tuyen Nguyen (Rennes), we establish a priori Lipschitz
estimates for unbounded solutions of viscous Hamilton-Jacobi equations
in presence of a Ornstein-Uhlenbeck drift.
The first type of equations we consider are local. The Ornstein-Uhlenbeck drift is associated with a general diffusion operator. This part is a generalization of an earlier work of Fujita, Ishii & Loreti (2006).
The second type of equations we deal with are nonlocal. The Ornstein-Uhlenbeck term is associated with a integro-differential operator of Fractional Laplacian type.
In both case, we obtain some local Lipschitz estimates which are independent of the L^\infty norm of the solution (which is supposed to have at most an exponential growth).
These results can be applied to prove the large time behavior of the solutions.
|
Extent |
41 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Institut National Sciences Appliquées
|
Series | |
Date Available |
2017-10-01
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0355859
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International