A limiting case for the divergence equation
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Publication:1955711
DOI10.1007/s00209-012-1077-xzbMath1275.35077OpenAlexW2155225757MaRDI QIDQ1955711
Petru Mironescu, Pierre Bousquet, Emmanuel Russ
Publication date: 18 June 2013
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-012-1077-x
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear first-order PDEs (35F05) Fourier series and coefficients in several variables (42B05) Boundary value problems for linear first-order PDEs (35F15)
Related Items (11)
Classical solutions of the divergence equation with Dini continuous data ⋮ An optimal Sobolev embedding for \(L^1\) ⋮ The equation divu + 〈a,u〉 = f ⋮ Approximation in higher-order Sobolev spaces and Hodge systems ⋮ An \(L^1\)-type estimate for Riesz potentials ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ A survey about the equation \(\mathrm{div} u=f\) in bounded domains of \(\mathbb R^n\) ⋮ On the dual of 𝐵𝑉 ⋮ Approximation of critical regularity functions on stratified homogeneous groups ⋮ On the Poincaré lemma on domains ⋮ Bourgain-Brezis inequalities on symmetric spaces of non-compact type
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