English

Generalized diffusion problems in a conical domain, part II

Analysis of PDEs 2022-07-13 v1 Dynamical Systems Functional Analysis Spectral Theory

Abstract

After different variables and functions changes, the generalized dispersal problem, recalled in (1) below and considered in part I, see [14], leads us to invert a sum of linear operators in a suitable Banach space, see (2) below. The essential result of this second part lies in the complete study of this sum using the two well-known strategies: the one of Da Prato-Grisvard [4] and the one of Dore-Venni [6].

Keywords

Cite

@article{arxiv.2207.05405,
  title  = {Generalized diffusion problems in a conical domain, part II},
  author = {Rabah Labbas and Stéphane Maingot and Alexandre Thorel},
  journal= {arXiv preprint arXiv:2207.05405},
  year   = {2022}
}
R2 v1 2026-06-25T00:50:29.081Z