Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (4)
- Authors
- Fedchenko, Dmitry P.; Tarkhanov, Nikolai
- Contact information
- Fedchenko, Dmitry P. : Institute of Mathematics, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041, Russia , e-mail: ; Tarkhanov, Nikolai : Institute of Mathematics, University of Potsdam , Am Neuen Palais, 10, Potsdam, 14469 Germany , e-mail:
- Keywords
- Laplace equation; Cauchy problem; wave equation; Carleman formulas
- Abstract
We study the Cauchy problem for the Laplace equation in a cylindrical domain with data on a part of its boundary which is a cross-section of the cylinder. On reducing the problem to the Cauchy problem for the wave equation in a complex domain and using hyperbolic theory we obtain explicit formulas for the solution, thus developing the classical approach of Hans Lewy (1927).
- Pages
- 419-432
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/1831
Journal of Siberian Federal University. Mathematics & Physics / Hyperbolic Formulas in Elliptic Cauchy Problems
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