Kramers–Fokker–Planck operators with homogeneous potentials
Copyright policy )Kramers–Fokker–Planck operators with homogeneous potentials
In this article we establish a global subelliptic estimate for Kramers–Fokker–Planck operators with homogeneous potentials V(q) under some conditions, involving in particular the control of the eigenvalues of the Hessian matrix of the potential. Our subelliptic lower bounds are the optimal ones up to some logarithmic correction.
- Paris 13 University France
- Sorbonne France
subelliptic estimates, Kramers-Fokker-Planck operator, Mathematics - Analysis of PDEs, compact resolvent, FOS: Mathematics, Subelliptic equations, General topics in linear spectral theory for PDEs, Spectrum, resolvent, Semialgebraic sets and related spaces, Fokker-Planck equations, Analysis of PDEs (math.AP)
subelliptic estimates, Kramers-Fokker-Planck operator, Mathematics - Analysis of PDEs, compact resolvent, FOS: Mathematics, Subelliptic equations, General topics in linear spectral theory for PDEs, Spectrum, resolvent, Semialgebraic sets and related spaces, Fokker-Planck equations, Analysis of PDEs (math.AP)
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