Some applications of Hironaka’s theorem on the resolution of singularities to the study of a fundamental solution for linear partial differential operators

DOI10.1007/BF02925181zbMath0466.35020MaRDI QIDQ3918462

Lamberto Cattabriga

Publication date: 1979

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionslinear partial differential operators with constant coefficientsHironaka's theoremresolution of the singularities

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Analyticity in context of PDEs (35A20) Linear higher-order PDEs (35G05) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

Some remarks on the propagation of Gevrey regularity for solutions of linear partial differential equations with constant coefficients

Cites Work

• On temperate fundamental solutions supported by a convex cone
• The Cauchy problem with polynomial growth conditions for partial differential operators with constant coefficients
• On the characteristic Cauchy problem
• Meromorphic property of the functions \(P^ \lambda\)
• Resolution of Singularities and Division of Distributions
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