On relationship between $H$-distributions and microlocal compactness forms

DOI10.4171/RLM/892zbMath1465.46041OpenAlexW3039886988MaRDI QIDQ2192700

L. Palle, Darko Mitrović, Nenad Antonić

Publication date: 17 August 2020

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/892

zbMATH Keywords

Young measures\(H\)-measures\(H\)-distributionsmicrolocal compactness forms

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

One-scale H-distributions and variants ⋮ Distributions of anisotropic order and applications to H-distributions

Cites Work

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• On an extension of a bilinear functional on \(L^p(\mathbf R^d)\otimes E\) to a Bochner space with an application to velocity averaging
• Velocity averaging -- a general framework
• Localisation principle for one-scale H-measures
• Oscillations and concentrations in weak solutions of the incompressible fluid equations
• Ultra-parabolic \(H\)-measures and compensated compactness
• \(H\)-distributions: an extension of \(H\)-measures to an \(L^p-L^q\) setting
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Second commutation lemma for fractional H-measures
• Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms
• On a generalization of compensated compactness in the \(L^p - L^q\) setting
• On the compactness for two dimensional scalar conservation law with discontinuous flux
• Parabolic H-measures
• On the existence and compactness of a two-dimensional resonant system of conservation laws
• Classical Fourier Analysis
• Microlocal defect measures
• On the measures of DiPerna and Majda
• On generalisation of H-measures
• H-measures applied to symmetric systems