A revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition
<|reference_start|>A revisit on well-posedness of a boundary value problem of a stationary advection equation without the separation condition: We consider a boundary value problem of a stationary advection equation in a bounded domain with Lipschitz boundary. It is known to be well-posed in $L^p$-based function spaces for $1 < p < \infty$ under the separation condition of the inflow and the outflow boundaries. In this article, we provide another sufficient condition for the well-posedness with $1 \leq p \leq \infty$.<|reference_end|>
@article{imagawa2024a,
    title={A revisit on well-posedness of a boundary value problem of a stationary
  advection equation without the separation condition},
    author={Masaki Imagawa, Daisuke Kawagoe},
    journal={arXiv preprint arXiv:2409.15603},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.15603},
    primaryClass={math.AP cs.NA math.NA}
}