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We present an abstract method for deriving decay estimates on the resolvents and semigroups of non-symmetric operators in Banach spaces in terms of estimates in another smaller reference Banach space.
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Stability and exponential convergence for the Boltzmann equation
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Moment inequalities for the Boltzmann equation and applications to spatially homogeneous problems
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Mathematical topics in neutron transport theory
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Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
Mouhot, C., and Villani, C · 2004
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Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials
Baranger, C., and Mouhot, C · 2005
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On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
Desvillettes, L., and Villani, C · 2005
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Quantitative lower bounds for the full Boltzmann equation. I. Periodic boundary conditions
Mouhot, C · 2005
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Hypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation
Hérau, F · 2006
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A Maxwellian lower bound for solutions to the Boltzmann equation
Pulvirenti, A., and Wennberg, B · 1997
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Condensation of bosons in the kinetic regime
Semikov, D., and Tkachev, I · 1997
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A limiting case for velocity averaging
Perthame, B., and Souganidis, P. E · 1998
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Strong L 1 L^{1} convergence to equilibrium without entropy conditions for the Boltzmann equation
Abrahamsson, F · 1999
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On the rate of entropy production for the Boltzmann equation
Bobylev, A. V., and Cercignani, C · 1999
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Fast deterministic method of solving the Boltzmann equation for hard spheres
Bobylev, A. V., and Rjasanow, S · 1999
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Mischler, S., and Mouhot, C · 2006
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Cooling process for inelastic Boltzmann equations for hard spheres. I. The Cauchy problem
Mischler, S., Mouhot, C., and Rodriguez Ricard, M · 2006
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Spectral mapping theorems for neutron transport, L 1 L^{1} -theory
Mokhtar-Kharroubi, M., and Sbihi, M · 2006
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Explicit coercivity estimates for the linearized Boltzmann and Landau operators
Mouhot, C · 2006
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Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
Mouhot, C · 2006
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Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
Mouhot, C., and Neumann, L · 2006
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On the fundamental solution of a linearized Uehling-Uhlenbeck equation
Escobedo, M., Mischler, S., and Vélazquez, J. J. L · 2007
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Quantitative linearized study of the Boltzmann collision operator and applications
Mouhot, C · 2007
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Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
Mouhot, C., and Strain, R. M · 2007
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A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case
Bakry, D., Barthe, F., Cattiaux, P., and Guillin, A · 2008
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Hypocoercivity for kinetic equations with linear relaxation terms
Dolbeault, J., Mouhot, C., and Schmeiser, C · 2009
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Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
Gamba, I. M., Panferov, V., and Villani, C · 2009
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Averaging lemmas and dispersion estimates for kinetic equations
Jabin, P.-E · 2009
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Stability, convergence to self-similarity and elastic limit for the Boltzmann equation for inelastic hard spheres
Mischler, S., and Mouhot, C · 2009
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Stability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular media
Mischler, S., and Mouhot, C · 2009
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Hypocoercivity
Villani, C · 2009
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Rate of convergence to self-similarity for the fragmentation equation in L 1 L^{1} spaces
Cáceres, M. J., Cañizo, J. A., and Mischler, S · 2010
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From resolvent bounds to semigroup bounds
Helffer, B., and Sjöstrand, J · 2010
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Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
Cáceres, M. J., Cañizo, J. A., and Mischler, S · 2011
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Global classical solutions of the Boltzmann equation without angular cut-off
Gressman, P. T., and Strain, R. M · 2011
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Fractional Poincaré inequality for general measures
Mouhot, C., Russ, E., and Sire, Y · 2011
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On Landau damping
Mouhot, C., and Villani, C · 2011
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The Wigner-Fokker-Planck equation: stationary state and large time behavior
Arnold, A., Gamba, I., Gualdani, M. P., Mischler, S., Mouhot, C., and Sparber, C · 2012
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On measure solutions of the Boltzmann equation, part I: moment production and stability estimates
Lu, X., and Mouhot, C · 2012
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A new approach to the creation and propagation of exponential moments in the Boltzmann equation
Alonso, R., Cañizo, J. A., Gamba, I., and Mouhot, C · 2013
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Instantaneous filling of the vacuum for the full Boltzmann equation in bounded domains
Briant, M · 2013
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On measure solutions of the Boltzmann equation, part II: Rate of convergence to equilibrium
Lu, X., and Mouhot, C · 2013
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Exponential time decay estimates for the landau equation on torus
Wu, K.-C · 2013
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Pointwise behavior of the linearized boltzmann equation on torus
Wu, K.-C · 2013
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