Asymptotic stability of a linear Boltzmann-type equation

DOI10.4064/am41-4-3zbMath1321.47160OpenAlexW2313974892MaRDI QIDQ2939952

Henryk Gacki, Roksana Brodnicka

Publication date: 23 January 2015

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am41-4-3

zbMATH Keywords

maximum principleasymptotic stabilityMarkov semigroupsMarkov operatorLagrange stabilitytotal variation distanceBoltzmann type equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory to differential and integral equations (47N20) Spaces of measures, convergence of measures (28A33) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Asymptotic stability of differential equations on convex sets
• Asymptotic stability of some nonlinear Boltzmann-type equations
• A nonlinear version of the Kantorovich-Rubinstein maximum principle
• An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation
• Differential equations on convex sets
• Properties of stationary solutions of a generalized Tjon-Wu equation
• Applications of the Kantorovich–Rubinstein maximum principle in the theory of Markov semigroups
• On the Kantorovich–Rubinstein maximum principle for the Fortet–Mourier norm