English

Calder\'on-Zygmund type estimate for the parabolic double-phase system

Analysis of PDEs 2024-06-21 v3

Abstract

This paper provides a local and global Calder\'on-Zygmund type estimate of a weak solution to the parabolic double-phase system. The proof of local estimate is based on comparison estimates and the scaling invariant property of the parabolic double-phase system in the intrinsic cylinders of the stopping time argument setting. For the proof of the global estimate, we have applied the reflection and approximation techniques.

Keywords

Cite

@article{arxiv.2304.10615,
  title  = {Calder\'on-Zygmund type estimate for the parabolic double-phase system},
  author = {Wontae Kim},
  journal= {arXiv preprint arXiv:2304.10615},
  year   = {2024}
}

Comments

References are corrected