English

Well-posedness of the coagulation-fragmentation equation with size diffusion

Analysis of PDEs 2021-10-19 v1

Abstract

Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted L1L^1-spaces.

Keywords

Cite

@article{arxiv.2110.09095,
  title  = {Well-posedness of the coagulation-fragmentation equation with size diffusion},
  author = {Philippe Laurençot and Christoph Walker},
  journal= {arXiv preprint arXiv:2110.09095},
  year   = {2021}
}
R2 v1 2026-06-24T06:58:03.057Z