98 citations · 98 across the 3 of their papers we have counts for
3 papers
math.AP2008
Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications
Frederic Herau, Michael Hitrik, Johannes Sjoestrand
In the first part of this work, we consider second order supersymmetric differential operators in the semiclassical limit, including the Kramers-Fokker-Planck operator, such that t…
math.AP2005★ 98 cited
Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation
Frederic Herau
We consider an inhomogeneous linear Boltzmann equation, with an external confining potential. The collision operator is a simple relaxation toward a local Maxwellian, therefore wit…
math.SP2004
Semiclassical analysis for the Kramers-Fokker-Planck equation
Frederic Herau, Johannes Sjoestrand, Christiaan C. Stolk
We study some accurate semiclassical resolvent estimates for operators that are neither selfadjoint nor elliptic, and applications to the Cauchy problem. In particular we get a pre…