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math.AP2022
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…
math.AP2022
The Kato square root problem for weighted parabolic operators
Alireza Ataei, Moritz Egert, Kaj Nyström
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with elliptic part in divergence form and coefficients possibly depending on space an…
math.AP2022
Square function estimates for the evolutionary p-Laplace equation
Kaj Nyström
We prove novel (local) square function/Carleson measure estimates for non-negative solutions to the evolutionary -Laplace equation in the complement of parabolic Ahlfors-David r…