Imperial College London
Alternate

ProfessorBoguslawZegarlinski

Faculty of Natural Sciences, Department of Mathematics

Visiting Professor
 
 
 
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Contact

 

+44 (0)20 7594 8492b.zegarlinski Website

 
 
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Location

 

6M55Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{V:2016:10.1016/j.jfa.2016.02.005,
author = {V, Kontis and MOttobre and Zegarlinski, B},
doi = {10.1016/j.jfa.2016.02.005},
journal = {Journal of Functional Analysis},
pages = {3173--3223},
title = {Markov semigroups with hypocoercive-type generator in infinite dimensions: Ergodicity and smoothing},
url = {http://dx.doi.org/10.1016/j.jfa.2016.02.005},
volume = {270},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We start by considering finite dimensional Markovian dynamics in Rm generated by operators of hypocoercive type and for such models we obtain short and long time pointwise estimates for all the derivatives, of any order and in any direction, along the semigroup. We then look at infinite dimensional models (in (Rm)Zd) produced by the interaction of infinitely many finite dimensional dissipative dynamics of the type indicated above. For these infinite dimensional models we study finite speed of propagation of information, well-posedness of the semigroup, time behaviour of the derivatives and strong ergodicity problem.
AU  - V,Kontis
AU  - MOttobre
AU  - Zegarlinski,B
DO  - 10.1016/j.jfa.2016.02.005
EP  - 3223
PY  - 2016///
SN  - 0022-1236
SP  - 3173
TI  - Markov semigroups with hypocoercive-type generator in infinite dimensions: Ergodicity and smoothing
T2  - Journal of Functional Analysis
UR  - http://dx.doi.org/10.1016/j.jfa.2016.02.005
VL  - 270
ER  -
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