Microlocal analysis of singular measures

DOI10.1007/s00209-023-03375-7zbMath1530.58014arXiv2104.09931MaRDI QIDQ6060828

Valeria Banica, Nicolas Burq

Publication date: 6 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09931

zbMATH Keywords

microlocal analysisRadon measuressingular measurespropagation of singularities

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Vector-valued set functions, measures and integrals (28B05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Elliptic equations and elliptic systems (35J99) Propagation of singularities; initial value problems on manifolds (58J47) Wave front sets in context of PDEs (35A18)

Cites Work

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• On the structure of \({\mathcal A}\)-free measures and applications
• Small scale creation for solutions of the incompressible two-dimensional Euler equation
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Para-differential calculus and applications to the Cauchy problem for nonlinear systems
• On the propagation of polarization sets for systems of real principal type
• Dimensional estimates and rectifiability for measures satisfying linear PDE constraints
• Directional oscillations, concentrations, and compensated compactness via microlocal compactness forms
• An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
• L^1-elliptic regularity and H = W on the whole L^p-scale on arbitrary manifolds
• Propagation de la polarisation pour des problemes aux limites convexes pour les bicaracteristiques.
• Rank one property for derivatives of functions with bounded variation
• Mesures de défaut de compacité, application au système de Lamé
• Continuity equations and ODE flows with non-smooth velocity
• Calculus of variations

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