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Hölder gradient estimates for parabolic homogeneous p-Laplacian equations.
- Source :
-
Journal de Mathematiques Pures et Appliquees . Jul2017, Vol. 108 Issue 1, p63-87. 25p. - Publication Year :
- 2017
-
Abstract
- We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p -Laplacian equation u t = | ∇ u | 2 − p div ( | ∇ u | p − 2 ∇ u ) , where 1 < p < ∞ . This equation arises from tug-of-war -like stochastic games with noise. It can also be considered as the parabolic p -Laplacian equation in non-divergence form. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN operator
*ESTIMATES
*VISCOSITY
*GAME theory
*DIVERGENCE theorem
Subjects
Details
- Language :
- English
- ISSN :
- 00217824
- Volume :
- 108
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal de Mathematiques Pures et Appliquees
- Publication Type :
- Academic Journal
- Accession number :
- 123501249
- Full Text :
- https://doi.org/10.1016/j.matpur.2016.10.010