The Square Root Problem of Kato for Elliptic Operators: Survey, Solution and Sequel
by Professor Alan McIntosh
Abstract: About 1960 Tosio Kato, during his investigation of the evolution of physical systems, was led to pose a key question about the square roots of elliptic partial differential operators. The one-dimensional problem was solved by Coifman, McIntosh and Meyer in 1982, while it was only in 2001 that the question was fully answered by Auscher, Hofmann, Lacey,
McIntosh and Tchamitchian. I will survey this development, and discuss further progress made with Axelsson and Keith.
For More Information: Ole Warnaar tel. 8344 5214 or Paul Pearce tel. 8344 4470