Asymptotically homogeneous generalized functions and some of their applications

DOI10.1134/S0081543818040065zbMath1405.46026OpenAlexW2886317837MaRDI QIDQ1798069

Yu. N. Drozhzhinov

Publication date: 23 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818040065

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Operations with distributions and generalized functions (46F10) Complex singularities (32S99)

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group
• Stochastic limit method and interference in quantum many-particle systems
• Manipulation of states of a degenerate quantum system
• Bäcklund transformations
• Lorentz invariant vacuum solutions in general relativity
• Homogeneous generalized functions with respect to one-parametric group
• On the division of distributions by polynomials
• Distributions asymptotically homogeneous along the trajectories determined by one-parameter groups
• Multidimensional Tauberian theorems for generalized functions
• Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation
• Generalized functions asymptotically homogeneous along special transformation groups
• Generalized functions asymptotically homogeneous with respect to one - parametric group at origin
• Regularly varying functions

This page was built for publication: Asymptotically homogeneous generalized functions and some of their applications