Exponential dichotomy and $(L^p,L^q)$-admissibility
Classical Analysis and ODEs
2026-01-13 v1 Functional Analysis
Abstract
We consider the notion of an exponential dichotomy with respect to a family of norms for an evolutionary family in a Banach space, and we characterize it by the admissibility of the pair for with . We then use this characterization to establish the robustness of an exponentially dichotomic evolutionary family with respect to a family of norms.
Cite
@article{arxiv.2601.06534,
title = {Exponential dichotomy and $(L^p,L^q)$-admissibility},
author = {Trinh Viet Duoc and Nguyen Van Trong},
journal= {arXiv preprint arXiv:2601.06534},
year = {2026}
}