Abstract
We study a class of nonlocal-diffusion equations with drifts, and derive a priori Φ -Hölder estimate for the solutions by using a purely probabilistic argument, where Φ is an intrinsic scaling function for the equation.
Original language | English |
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Pages (from-to) | 331-348 |
Number of pages | 18 |
Journal | Communications in Mathematics and Statistics |
Volume | 2 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 1 Dec 2014 |
Externally published | Yes |
Keywords
- Drift
- Hölder regularity
- Lévy system
- Nonlocal operator
- Parabolic function
- Space-time Hunt process
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Chen, Z. Q., & Zhang, X. (2014). Hölder Estimates for Nonlocal-Diffusion Equations with Drifts. Communications in Mathematics and Statistics, 2(3-4), 331-348. https://doi.org/10.1007/s40304-015-0042-5