\(H\)-distributions on Hörmander spaces

DOI10.1016/j.jmaa.2020.124717zbMath1459.35009OpenAlexW3094062342MaRDI QIDQ1995793

Ivana Vojnović, Ivan Ivec

Publication date: 25 February 2021

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.2020.124717

zbMATH Keywords

topological vector spacesHörmander \(B_{p , k}\) spaceslinear PDEs with non-smooth coefficients

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Semilinear elliptic equations (35J61)

Related Items (1)

Basic calculus of pseudodifferential operators with nonsmooth symbols

Cites Work

• \(H\)-distributions via Sobolev spaces
• \(H\)-distributions: an extension of \(H\)-measures to an \(L^p-L^q\) setting
• Functional analysis, Sobolev spaces and partial differential equations
• \(H\)-distributions with unbounded multipliers
• Local solvability for nonlinear partial differential equations.
• Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev
• Pseudodifferential and Singular Integral Operators
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Microlocal defect measures
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