Holomorphic extension of fundamental solutions of elliptic linear partial differential operators of the second order with analytic coefficients

DOI10.1016/j.crma.2009.01.022zbMath1163.35006OpenAlexW2067883368MaRDI QIDQ1009529

Serge Lukasiewicz

Publication date: 2 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.01.022

zbMATH Keywords

fundamental solutioncomplex bicharacteristic conoidelliptic linear partial differential operatorNilsson class

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Continuation of analytic objects in several complex variables (32D15) Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (2)

Expansion of the fundamental solution of a second‐order elliptic operator with analytic coefficients ⋮ Holomorphic extension of fundamental solutions of elliptic linear partial differential operators of higher order with analytic coefficients

Cites Work

• Some growth and ramification properties of certain integrals on algebraic manifolds
• Uniformisation de la solution du problème linéaire analytique de Cauchy près de la variété qui porte les données de Cauchy. (Problème de Cauchy. I)
• Un prolongement de la transformation de Laplace qui transforme la solution unitaire d'un opérateur hyperbolique en sa solution élémentaire. (Problème de Cauchy. IV.)
• Unnamed Item

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