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On the intersection of sets of incoming and outgoing waves
Author(s):
Adi
Ditkowski;
Michael
Sever
Journal:
Quart. Appl. Math.
66
(2008),
1-26.
MSC (2000):
Primary 35Lxx, 35Qxx, 78Axx
Posted:
January 10, 2008
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Abstract:
In the neighborhood of a boundary point, the solution of a first-order symmetric homogenous hyperbolic system is conveniently decomposed into fundamental waves solutions that are readily classified as outgoing, incoming, and stationary, or tangential. Under a broad hypothesis, we show that the spans of the sets of outgoing and incoming waves have nontrivial intersection. Under these conditions, local, linear, perfectly nonreflecting local boundary conditions are shown to be an impossibility.
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Additional Information:
Adi
Ditkowski
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Michael
Sever
Affiliation:
Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
PII:
S0033-569X-07-01080-3
Received by editor(s):
February 17, 2006
Posted:
January 10, 2008
Additional Notes:
This research was supported by the Israel Science Foundation (grant No. 1364/04).
Copyright of article:
Copyright
2007,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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