Convergence of Rothe's method for fully nonlinear parabolic equations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2004
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912655668674560 |
|---|---|
| author | Blank, I. Smith, P. |
| author_facet | Blank, I. Smith, P. |
| contents | Convergence of Rothe's method for the fully nonlinear parabolic equation u_t + F(D^2 u, Du, u, x, t) = 0 is considered under some continuity assumptions on F. We show that the Rothe solutions are Lipschitz in time, Holder in space, and they solve the equation in the viscosity sense. As an immediate corollary we get Lipschitz behavior in time of the viscosity solutions of our equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0404424 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | Convergence of Rothe's method for fully nonlinear parabolic equations Blank, I. Smith, P. Analysis of PDEs Numerical Analysis 35J60; 65M20 Convergence of Rothe's method for the fully nonlinear parabolic equation u_t + F(D^2 u, Du, u, x, t) = 0 is considered under some continuity assumptions on F. We show that the Rothe solutions are Lipschitz in time, Holder in space, and they solve the equation in the viscosity sense. As an immediate corollary we get Lipschitz behavior in time of the viscosity solutions of our equation. |
| title | Convergence of Rothe's method for fully nonlinear parabolic equations |
| topic | Analysis of PDEs Numerical Analysis 35J60; 65M20 |
| url | https://arxiv.org/abs/math/0404424 |