Euler partial differential equations and Schwartz distributions

DOI10.1090/PROC/14662zbMath1446.35115arXiv1806.00763OpenAlexW2963608708MaRDI QIDQ5206199

Dietmar Vogt

Publication date: 18 December 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00763

zbMATH Keywords

Euler equationsSchwartz distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Euler equations (35Q31)

Cites Work

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• Surjectivity of Euler operators on temperate distributions
• \(\mathcal{E}'\) as an algebra by multiplicative convolution
• Distributions
• Extension of C ∞ Functions Defined in a Half Space

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