14 citations · 36 across the 21 of their papers we have counts for
5 papers · 1 filter
A Note on Transport Equation in Quasiconformally Invariant Spaces
Albert Clop, Renjin Jiang, Joan Mateu +1
In this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel-Lizorkin spaces.
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Kari Astala, Albert Clop, Daniel Faraco +2
We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in arXiv:1412.4046 but here…
Beltrami equations with coefficient in the fractional Sobolev space
Antonio Luis Baisón, Albert Clop, Joan Orobitg
In this paper, we look at quasiconformal solutions of Beltrami equations where $μ\in L^\infty(…
Flows for non-smooth vector fields with subexponentially integrable divergence
Albert Clop, Renjin Jiang, Joan Mateu +1
In this paper, we study flows associated to Sobolev vector fields with subexponentially integrable divergence. Our approach is based on the transport equation following DiPerna-Lio…
Linear transport equations for vector fields with subexponentially integrable divergence
Albert Clop, Renjin Jiang, Joan Mateu +1
We face the well-posedness of linear transport Cauchy problems $$\begin{cases}\dfrac{\partial u}{\partial t} + b\cdot\nabla u + c\,u = f&(0,T)\times{\mathbb R}^n\\u(0,\cdot)=u_0\in…