Mathematics – Analysis of PDEs
Scientific paper
2006-07-21
Communications in Partial Differential Equations 31 (01/09/2006) 1321 - 1348
Mathematics
Analysis of PDEs
32 pages
Scientific paper
10.1080/03605300600635004
We prove explicit coercivity estimates for the linearized Boltzmann and Landau operators, for a general class of interactions including any inverse-power law interactions, and hard spheres. The functional spaces of these coercivity estimates depend on the collision kernel of these operators. They cover the spectral gap estimates for the linearized Boltzmann operator with Maxwell molecules, improve these estimates for hard potentials, and are the first explicit coercivity estimates for soft potentials (including in particular the case of Coulombian interactions). We also prove a regularity property for the linearized Boltzmann operator with non locally integrable collision kernels, and we deduce from it a new proof of the compactness of its resolvent for hard potentials without angular cutoff.
Mouhot Clément
No associations
LandOfFree
Explicit coercivity estimates for the linearized Boltzmann and Landau operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Explicit coercivity estimates for the linearized Boltzmann and Landau operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit coercivity estimates for the linearized Boltzmann and Landau operators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169838