FLOW WITH DENSITY AND TRANSPORT EQUATION IN
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Publication:4973033
DOI10.1017/fms.2019.41zbMath1428.42035arXiv1805.01630OpenAlexW2990843363MaRDI QIDQ4973033
Jie Xiao, Kang Wei Li, Ren Jin Jiang
Publication date: 2 December 2019
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.01630
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Transport processes in time-dependent statistical mechanics (82C70) (H^p)-spaces (42B30) PDEs in connection with mechanics of particles and systems of particles (35Q70) Harmonic analysis and PDEs (42B37)
Related Items (4)
Classical flows of vector fields with exponential or sub-exponential summability ⋮ Nontriviality of John-Nirenberg-Campanato spaces ⋮ New John–Nirenberg–Campanato‐type spaces related to both maximal functions and their commutators ⋮ Sharp reverse Hölder inequality for \(C_p\) weights and applications
Cites Work
- Unnamed Item
- Linear transport equations for vector fields with subexponentially integrable divergence
- Flows for non-smooth vector fields with subexponentially integrable divergence
- Sharp weighted bounds involving \(A_\infty\)
- Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
- Transport equation and Cauchy problem for BV vector fields
- Transport equation: extension of classical results for \(\operatorname{div}b\in\mathrm{BMO}\)
- The boundary correspondence under quasiconformal mappings
- Homeomorphisms of the line which preserve BMO
- Admissible changes of variables in the class of BMO functions
- Mappings of homogeneous groups and imbeddings of functional spaces
- Ordinary differential equations, transport theory and Sobolev spaces
- Homeomorphisms preserving \(A_ p\)
- Ordinary differential equations and quasiconformal mappings
- Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
- A note on transport equation in quasiconformally invariant spaces
- The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space
- Functions of bounded mean oscillation and quasiconformal mappings
- Sharp boundedness of quasiconformal composition operators on Triebel-Lizorkin type spaces
- Bounded compositions on scaling invariant Besov spaces
- Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates
- Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature
- \(H^p\) spaces of several variables
- Sharp bounds for general commutators on weighted Lebesgue spaces
- A note on a BMO map induced by strongly quasisymmetric homeomorphism
- Modern Fourier Analysis
- Estimates and regularity results for the DiPerna-Lions flow
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- Differentiability of functions in the Zygmund class
- Sharp weights and BMO-preserving homeomorphisms
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