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Overdetermined Systems of Linear Partial Differential Operators with Normal Principal Symbols

✍ Scribed by J. Zweibel


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
277 KB
Volume
166
Category
Article
ISSN
0022-1236

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✦ Synopsis


Elliptic complexes, made up of certain linear partial differential operators D 1 , ..., D d with C coefficients, are constructed. The local solvability problem for the nonhomogeneous equations D p u= f ( p # [1, ..., d]) and the local integrability problem for the homogeneous equation D 1 u=0 are solved.


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## Abstract We prove the following inclusion where __WF__~\*~ denotes the non‐quasianalytic Beurling or Roumieu wave front set, Ξ© is an open subset of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^n$\end{document}, __P__ is a linear partial differential o