Generation of analytic semigroup for some generalized diffusion operators in Lp-spaces
Analysis of PDEs
2021-11-30 v1
Abstract
We consider five different abstract Cauchy problems where the operator is of fourth order. For each problem, using semigroups techniques and functional calculus, we study the invertibility and the spectral properties of the fourth order operator to show that it generates an analytic semigroup.
Cite
@article{arxiv.2111.14402,
title = {Generation of analytic semigroup for some generalized diffusion operators in Lp-spaces},
author = {Rabah Labbas and Stéphane Maingot and Alexandre Thorel},
journal= {arXiv preprint arXiv:2111.14402},
year = {2021}
}
Comments
Mathematische Annalen, Springer Verlag, 2021