How to distinguish a local semigroup from a global semigroup

Details How to distinguish a local semigroup from a global semigroup How to distinguish a local semigroup from a global semigroup

2011-09-10

arxiv.org/abs/1109.2184v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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