| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
25 April 2024 |
|
| | | |
|
Article forum
| |
|
Comparison of viscosity solutions of fully nonlinear degenerate parabolic Path-dependent PDEs | Zhenjie Ren
; Nizar Touzi
; Jianfeng Zhang
; | Date: |
18 Nov 2015 | Abstract: | We prove a comparison result for viscosity solutions of (possibly degenerate)
parabolic fully nonlinear path-dependent PDEs. In contrast with the previous
result in Ekren, Touzi & Zhang, our conditions are easier to check and allow
for the degenerate case, thus including first order path-dependent PDEs. Our
argument follows the regularization method as introduced by Jensen, Lions &
Souganidis in the corresponding finite-dimensional PDE setting. The present
argument significantly simplifies the comparison proof in Ekren, Touzi & Zhang,
but requires an $L^p-$type of continuity (with respect to the path) for the
viscosity semi-solutions and for the nonlinearity defining the equation. | Source: | arXiv, 1511.5910 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |