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

DOI10.1007/BF02925026zbMath0581.35006OpenAlexW2312476919MaRDI QIDQ3704259

Lamberto Cattabriga

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02925026

zbMATH Keywords

fundamental solutionsconstant coefficientsGevrey spaceBeurling ultradistributionspropagation of Gevrey regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hybrids between hyperbolic and elliptic differential operators with constant coefficients
• On the propagation of analyticity of solutions of differential equations with constant coefficients
• Linear partial differential operators and generalized distributions
• Generalized hyperbolicity
• Propagation of analyticity of solutions of partial differential equations with constant coefficients
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Some applications of Hironaka’s theorem on the resolution of singularities to the study of a fundamental solution for linear partial differential operators
• On the singularities of solutions of partial differential equations
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
• On the propagation of regularity of solutions of partial differential equations with constant coefficients

This page was built for publication: Some remarks on the propagation of Gevrey regularity for solutions of linear partial differential equations with constant coefficients