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math.AP2015
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.
math.AP2015★ 2 cited
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…