How to distinguish a local semigroup from a global semigroup
Analysis of PDEs
2011-09-13 v1
Abstract
For a given autonomous time-dependent system that generates either a global, in time, semigroup or else only a local, in time, semigroup, a test involving a linear eigenvalue problem is given which determines which of 'global' or 'local' holds. Numerical examples are given. A linear transformation A is defined so that one has 'global' or 'local' depending on whether A does not or does have a positive eigenvalue. There is a possible application to Navier-Stokes problems.
Cite
@article{arxiv.1109.2184,
title = {How to distinguish a local semigroup from a global semigroup},
author = {John W. Neuberger},
journal= {arXiv preprint arXiv:1109.2184},
year = {2011}
}