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 |
|---|---|
| Pages (from-to) | 62-73 |
| Number of pages | 12 |
| Journal | IMA Journal of Applied Mathematics |
| Volume | 74 |
| Issue number | 1 |
| Early online date | 15 Dec 2008 |
| DOIs | |
| Publication status | Published - 1 Jan 2009 |