Browsing Mathematics, Statistics, and Physics by Subject "Cauchy problem"
Now showing items 14 of 4

Carleman estimates and applications to inverse problems
(Birkhäuser Verlag Basel/Switzerland, 2004)This review paper describes some general and recent results of possible interest for mathematicians studying or using uniqueness of the continuation or working on control theory or inverse problems for partial ... 
The Carleman formula for the Hemholtz equation on the plane
(Springer Science+Business Media, Inc., 2006)We consider the Cauchy problem for the Helmholtz equation in an arbitrary bounded planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carlemantype formula for a solution to this problem ... 
Increased stability of solutions to the Helmholtz equation
(Wichita State University. Graduate School., 20060428) 
On increasing stability of the continuation for elliptic equations of second order without (Pseudo)convexity assumptions
(American Institute of Mathematical Sciences, 201910)We derive bounds of solutions of the Cauchy problem for general elliptic partial differential equations of second order containing parameter (wave number) k which are getting nearly Lipschitz for large k. Proofs use energy ...