The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space
From MaRDI portal
Publication:1732131
DOI10.1016/j.jde.2018.11.027zbMath1412.35068OpenAlexW2900922205MaRDI QIDQ1732131
Publication date: 22 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.11.027
Weak solutions to PDEs (35D30) Initial value problems for linear first-order PDEs (35F10) Harmonic analysis and PDEs (42B37)
Related Items (5)
John-Nirenberg-\(Q\) spaces via congruent cubes ⋮ Boundedness of composition operators on higher order Besov spaces in one dimension ⋮ Unnamed Item ⋮ FLOW WITH DENSITY AND TRANSPORT EQUATION IN ⋮ Higher differentiability for solutions of nonhomogeneous elliptic obstacle problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Flows for non-smooth vector fields with subexponentially integrable divergence
- Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited
- A quasiconformal composition problem for the \(Q\)-spaces
- Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
- On composition operators which preserve BMO.
- Transport equation and Cauchy problem for BV vector fields
- Transport equation: extension of classical results for \(\operatorname{div}b\in\mathrm{BMO}\)
- 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
- Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
- Remarks on the symbolic calculus in vector valued Besov spaces
- Hardy-Sobolev spaces and maximal functions
- Homeomorphisms preserving \(A_ p\)
- Ordinary differential equations and quasiconformal mappings
- \(Q\) spaces and Morrey spaces
- Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
- A note on transport equation in quasiconformally invariant spaces
- 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
- A reverse quasiconformal composition problem for \(Q_\alpha(\mathbb{R}^n)\)
- Properties of BMO functions whose reciprocals are also BMO
- A note on a BMO map induced by strongly quasisymmetric homeomorphism
- On functions of bounded mean oscillation
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Quasiconformal Mappings and Chord-Arc Curves
- Changes of Variable in Besov Spaces
- Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
- Changes of variable in Besov spaces II
- Q spaces of several real variables
- Sharp weights and BMO-preserving homeomorphisms
This page was built for publication: The transport equation in the scaling invariant Besov or Essén-Janson-Peng-Xiao space