The Cα regularity of a class of non-homogeneous ultraparabolic equations
By Wendong Wang, Liqun Zhang. 2007
64 citations recorded by the source corpus.
We obtain the Cα regularity for weak solutions of a class of non-homogeneous ultraparabolic equation, with measurable coefficients. The result generalizes our recent Cα regularity results of homogeneous ultraparabolic equations.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4635bfabbca3552d9c53714dc7259f28e3fc081a
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In Applied Mathematics
- Luis Silvestre
- C. Imbert
- Francesca Anceschi
- Russell W. Schwab
- Sergio Polidoro
- Juan Luis V'azquez
- Enrico Valdinoci
- Xavier Ros-Oton
In Mathematical Physics
- C. Imbert
- Luis Silvestre
- Francesca Anceschi
- Sergio Polidoro
- Juan Luis V'azquez
- Pablo Raúl Stinga
- Enrico Valdinoci
- C. Bucur
Citations in the corpus
- A survey on the classical theory for Kolmogorov equation (2019, background): “• PoincarÃľ inequality and Hölder regularity: a weak PoincarÃľ inequality is proved by Wang and Zang in [73] for the dilation invariant case and in [72] for the non-dilation invariant one.”
- The weak Harnack inequality for the Boltzmann equation without cut-off (2016, methodology): “the Landau equation. Pascucci and Polidoro [56] obtained the local L8 estimate for this equation using Moser’s method. Continuing in that direction, Wang and Zhang obtained Holder estimates in [50], [65] and [66]. Their proof is quite involved. A highly nontrivial step is to obtain an appropriate fo”