On the fundamental solutions of a class of elliptic quartic operators in dimension 3.

DOI10.1016/S0021-7824(02)01258-8zbMath1112.35300MaRDI QIDQ1406930

Peter Wagner

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Fundamental solutionElliptic integralElliptic operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Higher-order elliptic equations (35J30)

Related Items (6)

On some contributions of John Horváth to the theory of distributions ⋮ On the explicit calculation of fundamental solutions ⋮ Fundamental solutions for a class of non-elliptic homogeneous differential operators ⋮ Fundamental solutions of homogeneous elliptic differential operators. ⋮ On the fundamental solutions of a class of hyperbolic quartic operators in dimension 3 ⋮ The Herglotz formula and fundamental solutions of hyperbolic cubic operators inR⁴

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Bernstein-Sato-Polynome und Faltungsgruppen zu Differentialoperatoren. (Bernstein-Sato polynomials and convolution groups for differential operators)
• Fundamental solutions of real homogeneous cubic operators of principal type in three dimensions
• A Fundamental Solution of N. Zeilon's Operator
• Solution of Some Problems of Division: Part I. Division by a Polynomial of Derivation
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