Characterizations of the existence and removable singularities of divergence-measure vector fields

From MaRDI portal
Publication:3545853

DOI10.1512/iumj.2008.57.3312zbMath1169.35009OpenAlexW2067735470MaRDI QIDQ3545853

Nguyen Cong Phuc, Monica Torres

Publication date: 11 December 2008

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2008.57.3312




Related Items (26)

Boundary regularity and stability for spaces with Ricci bounded belowOn BV functions and essentially bounded divergence-measure fields in metric spacesGauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance lawsFractional Hardy-Sobolev \(L^1\)-embedding per capacity-dualityOn locally essentially bounded divergence measure fields and sets of locally finite perimeterOn Calderón-Zygmund theory for \(p\)- and \({\mathcal{A}}\)-superharmonic functionsTraces and extensions of bounded divergence-measure fields on rough open setsOn the existence of vector fields with nonnegative divergene in rearrangement-invariant spacesDissipation in Onsager's critical classes and energy conservation in \(BV \cap L^\infty\) with and without boundaryA note on Lebesgue solvability of elliptic homogeneous linear equations with measure dataCharacterization of some closed linear subspaces of Morrey spaces and approximationMorrey's fractional integrals in Campanato-Sobolev's space and \(\operatorname{div}F=f\)On Lebesgue integrability of Fourier transforms in amalgam spacesUnnamed ItemUnnamed ItemA class of subspaces of Morrey spaces and norm inequalities on Riesz potential operatorsCauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open setsGlobal integral gradient bounds for quasilinear equations below or near the natural exponentRemovable sets for the flux of continuous vector fieldsQuantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernelsOn a decomposition of non-negative Radon measuresRemovable singularities for div v=f in weighted Lebesgue spacesHierarchical Construction of Bounded Solutions in Critical Regularity SpacesOn the dual of 𝐵𝑉Solvability in weighted Lebesgue spaces of the divergence equation with measure dataMean Hölder-Lipschitz potentials in curved Campanato-Radon spaces and equations \((-\Delta)^{\frac{\alpha}{2}}u=\mu = F_k[u\)]




This page was built for publication: Characterizations of the existence and removable singularities of divergence-measure vector fields