\(D\)-modules and Leray uniformization in the Cauchy problem for overdetermined systems

zbMath0904.58055MaRDI QIDQ1264904

Vladimir E. Nazaikinskii

Publication date: 21 January 1999

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

uniquenessCauchy problemlocal existence\({\mathcal D}\)-moduleslinear partial differential equationscomplex manifoldoverdetermined systemsLeray uniformization

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Relations of PDEs on manifolds with hyperfunctions (58J15) Overdetermined systems of PDEs with variable coefficients (35N10) Propagation of singularities; initial value problems on manifolds (58J47)

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