Colorado State University
Increased stability of the continuation for partial differential equations
By Viktor Isakov
From Department of Mathematics
Wichita State University
When Oct 3, 2005
Where Room B103, Engineering Building
Abstract We consider the Cauchy problem for the Helmholtz equation with variable coefficient. Under (pseudo) convexity type conditions we show that stability in this problem is improving when frequency (wave number) increases. In proofs we use Carleman estimates for the wave equation and special partitioning of the unity.
We discuss similar questions for control theory and inverse problems.
Further Information Oleg Emanouilov
There will be Refreshments in WB 117 at 12noon, following the Colloquium talk.
The Colloquium counts as Seminar Credit for Mathematics Students