Abstract
Kozlov & Maz'ya (1989, Algebra Anal., 1, 144–170) proposed an alternating iterative method for solving Cauchy problems for general strongly elliptic and formally self-adjoint systems. However, in many applied problems, operators appear that do not satisfy these requirements, e.g. Helmholtz-type operators. Therefore, in this study, an alternating procedure for solving Cauchy problems for self-adjoint non-coercive elliptic operators of second order is presented. A convergence proof of this procedure is given.
Original language | English |
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Pages (from-to) | 62-73 |
Number of pages | 12 |
Journal | IMA Journal of Applied Mathematics |
Volume | 74 |
Issue number | 1 |
Early online date | 3 Jul 2008 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- Cauchy problem
- Helmholtz equation