Asymptotically homogeneous solutions of differential equations whose symbols are polynomials quasi-homogeneous with respect to one-parameter groups with generators containing a nilpotent component

DOI10.1134/S1064562413050025zbMath1282.35131OpenAlexW1980519859MaRDI QIDQ393873

B. I. Zav'yalov, Yu. N. Drozhzhinov

Publication date: 24 January 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413050025

zbMATH Keywords

homogeneous distributionsresonance component

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Distributions, generalized functions, distribution spaces (46F99) Self-similar solutions to PDEs (35C06)

Cites Work

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• Asymptotically homogeneous generalized functions at zero and convolution equations with kernels quasi-homogeneous polynomial symbols
• Homogeneous generalized functions with respect to one-parametric group
• On the division of distributions by polynomials
• Generalized functions asymptotically homogeneous with respect to one - parametric group at origin
• Regularly varying functions

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