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- Publisher
- Springer Journals
- Copyright
- Copyright © 2008 by Birkhaueser
- Subject
- Mathematics; Analysis
- ISSN
- 1424-3199
- eISSN
- 1424-3202
- DOI
- 10.1007/s00028-007-0360-5
- Publisher site
- See Article on Publisher Site
Abstract
We deal with streaming operators T H defined in L 1 spaces by the directional derivative $$-v \frac{\partial}{\partial x}$$ with positive boundary operator H of norm 1 relating the incoming and outgoing fluxes. It is known that T H need not be a generator but there exists a contraction semigroup generated by an extension A of T H . This paper deals with the total mass carried by individual trajectories { e tA f ; t ≥ 0} for nonnegative initial data f and related topics. In particular, our analysis covers the problem of (the lack of) stochasticity of { e tA ; t ≥ 0} for conservative boundary operator H .
Journal
Journal of Evolution Equations – Springer Journals
Published: May 1, 2008