A biharmonic transmission problem in Lp-spaces
Analysis of PDEs
2021-12-01 v1
Abstract
In this work we study, by a semigroup approach, a transmission problem based on biharmonic equations with boundary and transmission conditions, in two juxtaposed habitats. We give a result of existence and uniqueness of the classical solution in L p-spaces, for p (1, +), using analytic semigroups and operators sum theory in Banach spaces. To this end, we invert explicitly the determinant operator of the transmission system in L p-spaces using the E -calculus and the Dore-Venni sums theory.
Cite
@article{arxiv.2111.15346,
title = {A biharmonic transmission problem in Lp-spaces},
author = {Alexandre Thorel},
journal= {arXiv preprint arXiv:2111.15346},
year = {2021}
}