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Selçuk Journal
of
Applied Mathematics
SPECIAL ISSUE
Summer-Autumn, 2001
Volume 2
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2001, Volume 2 - Number 2
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General solution of the Cauchy problem for the acoustic equation in the form
of dynamic ray expansion
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Valery Yakhno, Faruk Uygul |
Dokuz Eylul University, Faculty Arts and Sciences, Buca, 35160 Izmir, Turkey
email: valeyr.yakno@deu.edu.tr ;
faruk.uygul@deu.edu.tr
Received: December 07, 2001
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Summary
Main object of this paper is the acoustic equation. Coefficients of this equation are smooth functions of the space variables. Existence and uniqueness theorem of the generalized
solution of the Cauchy problem in the form of the dynamic and classical ray series is given.
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Key
words
Cauchy problem, generalized solution, acoustic equation, ray series expansion
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Mathematics Subject Classification (2000): 35D05, 35L15,58J47
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Article
in PS format (94 kb) |
Article in ZIP
format (38 kb) |
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