Distributions in \(\mathbb{R}^3\) with a thick curve

DOI10.1016/j.jmaa.2022.126075zbMath1496.46036OpenAlexW4214751209MaRDI QIDQ2122167

Yunyun Yang

Publication date: 6 April 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126075

zbMATH Keywords

thick delta functionsdistributions on a thick curveFrenet coordinatesline Dirac delta functionthick line delta functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

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• Singularity analysis of a reaction-diffusion equation with a solution-dependent Dirac delta source
• Distributions in spaces with thick points
• Reconstruction of the one-dimensional thick distribution theory
• Applications of the Thick Distributional Calculus
• The immersed boundary method

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