English

Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients

Analysis of PDEs 2024-12-23 v1

Abstract

We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounded coefficients with possibly unbounded diffusion coefficients, which may vary equation by equation.

Keywords

Cite

@article{arxiv.2412.15935,
  title  = {Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients},
  author = {Davide Addona and Luca Lorenzi and Marianna Porfido},
  journal= {arXiv preprint arXiv:2412.15935},
  year   = {2024}
}
R2 v1 2026-06-28T20:43:53.297Z