31 citations · 151 across the 56 of their papers we have counts for
4 papers · 2 filters
Variational inequalities for the fractional Laplacian
Roberta Musina, Alexander I. Nazarov, Konijeti Sreenadh
In this paper we study the obstacle problems for the fractional Lapalcian of order in a bounded domain , under mild assumptions on the data.
On the maximum principle for parabolic equations with unbounded coefficients
A. I. Nazarov
Translation of the paper "Interpolation of linear spaces and maximum estimates for solutions to parabolic equations" published in Russian in the collected volume "Partial different…
A counterexample to the Hopf-Oleinik lemma (elliptic case)
D. E. Apushkinskaya, A. I. Nazarov
We construct a new counterexample confirming the sharpness of the Dini-type condition for the boundary of . In particular, we show that for convex domains the Dini-type assumpti…
On fractional Laplacians -- 3
Roberta Musina, Alexander I. Nazarov
We investigate the role of the noncompact group of dilations in on the difference of the quadratic forms associated to the fractional Dirichlet and Navier Laplacians.…