Fundamental solutions for a class of non-elliptic homogeneous differential operators

DOI10.1016/j.bulsci.2007.06.004zbMath1155.35009arXiv0704.0801OpenAlexW2963257285MaRDI QIDQ950534

Brice Camus

Publication date: 30 October 2008

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0801

zbMATH Keywords

singularitiespartial differential equationtemperate fundamental solution

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Solutions to PDEs in closed form (35C05) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (2)

A structure theorem for fundamental solutions of analytic multipliers in \(\mathbb{R}^n\) ⋮ Invertibility for a class of Fourier multipliers

Cites Work

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• 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
• Fundamental solutions of homogeneous elliptic differential operators.

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