English

Monotonicity results for semilinear parabolic equations on metric graphs

Analysis of PDEs 2025-02-13 v1

Abstract

We prove monotonicity results for semilinear parabolic problems on locally finite connected metric graphs. Applications to regular metric trees are discussed.

Keywords

Cite

@article{arxiv.2502.08361,
  title  = {Monotonicity results for semilinear parabolic equations on metric graphs},
  author = {Fabio Punzo and Alberto Tesei},
  journal= {arXiv preprint arXiv:2502.08361},
  year   = {2025}
}