2 papers
math.AP2025
Boundary behavior of solutions to fractional -Laplacian equation
Alireza Ataei
In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional -Laplacian equations. Then, the isolation of the first $…
math.AP2025
The Kato square root problem for parabolic operators with an anti-symmetric part in BMO
Alireza Ataei, Kaj Nyström
We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is coercive, and a real anti-symmetric part, whi…