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Reflection of singularities at the boundary

✍ Scribed by Andrew Majda; Stanley Osher

Publisher: John Wiley and Sons
Year: 1975
Tongue: English
Weight: 801 KB
Volume: 28
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160280404

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## Introduction In this paper we shall examine reflection of singularities of solutions of firstorder equations of the form in a region 9 with boundary given by y=O; say 9 = X a9. Here G = G ( y ) = G ( y , x , 0,) is a smooth one-parameter family of pseudo-differential operators of order one on a