Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension
Analysis of PDEs
2010-10-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1001.2004,
title = {Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension},
author = {Ekaterina Shemyakova},
journal= {arXiv preprint arXiv:1001.2004},
year = {2010}
}
Comments
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