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Duhamel solutions of non-homogeneous  -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
MathSciNet review:
2262873
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Additional information
Abstract:
 -analogue non-homogeneous wave equations are solved by a Duhamel solution strategy using constructions with  -analogue Fourier multipliers to compensate for the dependence of the analogue differential Leibnitz rule on the parity of the functions involved.
References:
-
- 1.
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 -linear grid, J. Approx. Theory 112 no. 1, (2001), pp. 134-157. MR 1857606 (2002j:33015a) - 2.
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 of the  -Fourier transform, J. Math. Phys. 37 (1996), 4683-4689. MR 1408114 (97j:33039) - 3.
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- 4.
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 -Analogues of the Fourier and Hankel Transforms, Trans. Amer. Math. Soc. 333 (1992), 445-461. MR 1069750 (92k:33013) - 7.
- R. L. Rubin, A
 -Analogue Operator for  -Analogue Fourier Analysis, J. Math. Anal. Appl. 212 (1997), 571-582. MR 1464898 (99g:33050) - 8.
- E. M. Stein, G. Weiss, Introduction to Fourier analysis on Euclidean spaces. Princeton Mathematical Series, No. 32. Princeton University Press, Princeton, N.J., 1971. MR 0304972 (46:4102)
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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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