The Herglotz formula and fundamental solutions of hyperbolic cubic operators inR4

DOI10.1080/10652460500422031zbMath1136.35420OpenAlexW2116188953MaRDI QIDQ5478731

Peter Wagner

Publication date: 13 July 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500422031

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Elliptic functions and integrals (33E05) Higher-order hyperbolic equations (35L25) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (1)

Hölder mean inequalities for the complete elliptic integrals

Cites Work

• Unnamed Item
• History of the mathematics of double refraction
• On the fundamental solutions of a class of elliptic quartic operators in dimension 3.
• Fundamental solutions of real homogeneous cubic operators of principal type in three dimensions
• On the explicit calculation of fundamental solutions
• On the fundamental solutions of a class of hyperbolic quartic operators in dimension 3
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Fundamental matrices of homogeneous hyperbolic systems. Applications to crystal optics, elastodynamics, and piezoelectromagnetism

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