Macquarie Mathematics Colloquium
Monday 10 December 2007
1pm
in E6A102
Speaker: Professor Alan McIntosh
Centre for Mathematics and its Applications, Australian National
University, Canberra
Title: The Square Root Problem of Kato for Elliptic Operators:
Survey, Solution and Sequel
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. A positive answer to his
question implies that the square root is stable under
small perturbations, this being useful in solving related hyperbolic
equations with time-varying coefficients. 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. The speaker will survey this development,
and discuss further progress made with Axelsson and Keith.
------------------------------<WBR>------------------------------<WBR>------------
We will take the speaker out to lunch at the Staff Club. The lunch
party departs from level 4 of E7A at noon. Please join us.
Monday 10 December 2007
1pm
in E6A102
Speaker: Professor Alan McIntosh
Centre for Mathematics and its Applications, Australian National
University, Canberra
Title: The Square Root Problem of Kato for Elliptic Operators:
Survey, Solution and Sequel
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. A positive answer to his
question implies that the square root is stable under
small perturbations, this being useful in solving related hyperbolic
equations with time-varying coefficients. 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. The speaker will survey this development,
and discuss further progress made with Axelsson and Keith.
------------------------------<WBR>------------------------------<WBR>------------
We will take the speaker out to lunch at the Staff Club. The lunch
party departs from level 4 of E7A at noon. Please join us.