A Note on Transport Equation in Quasiconformally Invariant Spaces
Albert Clop, Renjin Jiang, Joan Mateu, Joan Orobitg
TL;DR
This paper investigates the well-posedness of the transport equation within BMO and Triebel-Lizorkin spaces, expanding understanding of solutions in these function spaces.
Contribution
It provides new results on the existence and uniqueness of solutions to the transport equation in quasiconformally invariant function spaces.
Findings
Established well-posedness in BMO space
Extended results to Triebel-Lizorkin spaces
Contributed to the theory of transport equations in complex function spaces
Abstract
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.
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