Flows for non-smooth vector fields with subexponentially integrable divergence
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Publication:281662
DOI10.1016/j.jde.2016.03.037zbMath1346.35043arXiv1507.04016OpenAlexW2963019225MaRDI QIDQ281662
Joan Orobitg, Joan Mateu, Albert Clop, Ren Jin Jiang
Publication date: 11 May 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.04016
Smoothness and regularity of solutions to PDEs (35B65) Linear first-order PDEs (35F05) Initial value problems for linear first-order PDEs (35F10)
Related Items (7)
Well-posedness for the continuity equation for vector fields with suitable modulus of continuity ⋮ Nonlinear transport equations and quasiconformal maps ⋮ Classical flows of vector fields with exponential or sub-exponential summability ⋮ The regularity of the boundary of vortex patches for some nonlinear transport equations ⋮ A note on transport equation in quasiconformally invariant spaces ⋮ The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space ⋮ FLOW WITH DENSITY AND TRANSPORT EQUATION IN
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