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Scattering for a wave equation with different spatial asymptotics on the left and right

✍ Scribed by João Pedro Boto

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 200 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(199912)22:18<1621::aid-mma96>3.0.co;2-a

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✦ Synopsis

We study the scattering for a one-dimensional wave equation with a measurable positive potential <, locally bounded away from zero and satisfying lim V <(x)"#R and <(x)"O (" x "\C) as xP!R, for some '0. By using a combination of ideas from the Lax}Phillips theory and the Enss method we prove the existence and the completeness of the wave operators = $ .

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