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Duhamel solutions of non-homogeneous $ q^2$-analogue wave equations

Author(s): Richard L. Rubin
Journal: Proc. Amer. Math. Soc. 135 (2007), 777-785.
MSC (2000): Primary 39A12; Secondary 33D15, 42A38
Posted: August 31, 2006
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Abstract: $ q$-analogue non-homogeneous wave equations are solved by a Duhamel solution strategy using constructions with $ q$-analogue Fourier multipliers to compensate for the dependence of the analogue differential Leibnitz rule on the parity of the functions involved.

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Additional Information:

Richard L. Rubin
Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199

DOI: 10.1090/S0002-9939-06-08525-X
PII: S 0002-9939(06)08525-X
Received by editor(s): January 22, 2004
Received by editor(s) in revised form: March 28, 2005 and October 10, 2005
Posted: August 31, 2006
Communicated by: Andreas Seeger
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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