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FIO‐product representation of solutions to symmetrizable hyperbolic systems
Author(s) -
Rousseau Jérôme Le
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700905
Subject(s) - mathematics , product (mathematics) , infinity , representation (politics) , operator (biology) , convergence (economics) , fourier transform , pure mathematics , mathematical analysis , chemistry , geometry , biochemistry , repressor , politics , political science , transcription factor , law , economics , gene , economic growth
The solution operator of a symmetrizable hyperbolic system is approximated by a multi‐product of Fourier integral operators. Exact convergence is obtained as we let the number of operators in the product grow to infinity, which yields an alternative representation of the solution. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)