Bounds for the state-modulated resolvent of a linear Boltzmann generator (Q2895727)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Bounds for the state-modulated resolvent of a linear Boltzmann generator |
scientific article; zbMATH DE number 6052726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for the state-modulated resolvent of a linear Boltzmann generator |
scientific article; zbMATH DE number 6052726 |
Statements
Bounds for the state-modulated resolvent of a linear Boltzmann generator (English)
0 references
4 July 2012
0 references
Boltzmann equation
0 references
Markov semigroup
0 references
state-modulated resolvent
0 references
The authors study the generator \(L\) of a special Markov semigroup. This generator appears in a linear Boltzmann equation modeling a one-dimensional test particle in a periodic potential colliding with particles from ideal background gas. An estimate for the generalized resolvent \((L-M_h)^{-1}\) is obtained. Here \(M_h\) is an operator of multiplication by a bounded measurable function \(h\). The estimate is related to the typical amount of time spent by a particle in various regions of phase space before arriving at a region around the origin.
0 references
