Singular sets of Sobolev functions

DOI10.1016/S1631-073X(02)02316-6zbMath1007.46033MaRDI QIDQ1600183

Darko Žubrinić

Publication date: 14 March 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

Bessel potentialsingular setsingular dimension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (24)

Maximally singular weak solutions of Laplace equations ⋮ Pointwise convergence problem of the Korteweg-de Vries-Benjamin-Ono equation ⋮ On the dimension of the divergence set of the Ostrovsky equation ⋮ Fractal analysis of spiral trajectories of some planar vector fields ⋮ Pointwise convergence over fractals for dispersive equations with homogeneous symbol ⋮ An upbound of Hausdorff's dimension of the divergence set of the fractional Schrödinger operator on \(H^s(\mathbb{R}^n)\) ⋮ POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES ⋮ On the dimension of divergence sets of dispersive equations ⋮ Weighted Fourier extension estimates and applications ⋮ A Carleson problem for the Boussinesq operator ⋮ Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick ⋮ Minkowski content and singular integrals. ⋮ Average decay of the Fourier transform of measures with applications ⋮ The Schrödinger equation along curves and the quantum harmonic oscillator ⋮ On Schrödinger oscillatory integrals associated with the Dunkl transform ⋮ Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\) ⋮ Coherence on fractals versus pointwise convergence for the Schrödinger equation ⋮ Singular sets of Lebesgue integrable functions ⋮ Maximally singular Sobolev functions ⋮ Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\) ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation ⋮ Generating singularities of weak solutions of \(p\)-Laplace equations on fractal sets ⋮ Convergence over fractals for the periodic Schrödinger equation ⋮ Convergence over fractals for the Schroedinger equation

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