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We investigate the relaxation to equilibrium of the solution of a class of one-dimensional linear Fokker–Planck type equations that have been recently considered in connection with the study of addiction… Click to show full abstract
We investigate the relaxation to equilibrium of the solution of a class of one-dimensional linear Fokker–Planck type equations that have been recently considered in connection with the study of addiction phenomena in a system of individuals. The steady states of these equations belong to the class of generalized Gamma densities. As a by-product of the relaxation analysis, we prove new weighted Poincaré and logarithmic Sobolev type inequalities for this class of densities.
Keywords:
class;
gamma densities;
entropy type;
generalized gamma;
inequalities generalized;
type inequalities
Journal Title: Ricerche di Matematica
Year Published: 2019
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Journal Title: Ricerche di Matematica
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!