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math.AP2018★ 2 cited
Harnack inequalities and Hölder estimates for master equations
A. Biswas, M. De León-Contreras, P. R. Stinga
We study master equations of the form where is a divergence form elliptic operator and . These a…
math.AP2017
Schauder estimates for discrete fractional integrals
Luciano Abadias, Marta De León-Contreras, José L. Torrea
In this note we focus on the discrete fractional integrals as a natural continuation of our previous work about nonlocal fractional derivatives, discrete and continuous. We define…
math.AP2016
Non-local fractional derivatives. Discrete and continuous
Luciano Abadías, Marta de León-Contreras, José L. Torrea
We prove maximum and comparison principles for fractional discrete derivatives in the integers. Regularity results when the space is a mesh of length , and approximation theorem…