Abstract:
We consider elliptic differential-difference operators with degeneration in a bounded domain with piecewise smooth boundary. It is proved that these operators are regular accretive and satisfy the Kato square root conjecture.
This work was carried out with the support of the Russian Foundation for Basic Research (grant no. 17-01-00401) and the 5-100 Programme of the Peoples' Friendship University of Russia.
Citation:
A. L. Skubachevskii, “On a property of regularly accretive differential-difference operators with degeneracy”, Russian Math. Surveys, 73:2 (2018), 372–374