Mathematics – Analysis of PDEs
Scientific paper
2010-01-12
Mathematics
Analysis of PDEs
The final publication is available at http://www.springerlink.com
Scientific paper
Given a right factor and a left factor of a Linear Partial Differential
Operator (LPDO), under which conditions we can refine these two-factor
factorizations into one three-factor factorization? This problem is solved for
LPDOs of arbitrary order and number of variables. A more general result for the
incomplete factorizations of LPDOs is proved as well.
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