Stability results for a Cauchy problem for an elliptic equation
In: Inverse problems, Jg. 23 (2007), Heft 1, S. 421-461
Online
academicJournal
- print, 21 ref
Zugriff:
Let p e (1, oo], φ ∈ Lp(R) and e < E be given non-negative constants. In this paper, we prove stability estimates of Holder type for the Cauchy problem uxx + a(y)uyy + b(y)uy + c(y)u = 0, -oo < x < oo, 0 < y < 1, ∥u (·, 0) - φ∥p ≤ ε, uy(x, 0) = 0, -oo < x < oo. subject to the constraint ∥u(·, 1)∥p ≤ E. Furthermore, we suggest a marching difference scheme for solving the problem in a stable way. Numerical examples are given which show the efficiency of the method.
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Stability results for a Cauchy problem for an elliptic equation
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Autor/in / Beteiligte Person: | DINH NHO, HAO ; PHAM MINH, HIEN ; SAHLI, H |
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Zeitschrift: | Inverse problems, Jg. 23 (2007), Heft 1, S. 421-461 |
Veröffentlichung: | Bristol: Institute of Physics, 2007 |
Medientyp: | academicJournal |
Umfang: | print, 21 ref |
ISSN: | 0266-5611 (print) |
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