Trotter Kato Theorem for Bi Continuous Semigroups and Approximation of PDEs
Numerical Analysis
2019-11-22 v1 Numerical Analysis
Functional Analysis
Abstract
In this paper, we introduce formulations of the Trotter Kato theorem for approximation of bi continuous semigroups that provide a useful framework whenever convergence of numerical approximations to solutions of PDEs are studied with respect to an additional locally convex topology coarser than the norm topology to treat the lack of the strong continuity. Applicability of our results is demonstrated using a heat equation with infinite boundaries.
Keywords
Cite
@article{arxiv.1911.09604,
title = {Trotter Kato Theorem for Bi Continuous Semigroups and Approximation of PDEs},
author = {Abdulhameed Qahtan Abbood Altai},
journal= {arXiv preprint arXiv:1911.09604},
year = {2019}
}