Spectral gap and irreducibility for collisional transport semigroups with general vector fields
Abstract
Motivated by kinetic theory, this paper investigates the spectral theory and long-time asymptotics of semigroups $ \left( W(t)\right) _{t\geq 0} $ associated with integro-differential equations $ \frac{\partial f}{\partial t} +a.\frac{\partial f}{\partial x}+b.\frac{\partial f}{\partial v}+\sigma f = Kf\ $ in $ L^{p}(\Omega \times \mathbb{R}^{d}) $ $ (1\leq p
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Kinetic and Related Models
- Volume
- 25
- Issue
- 0
- Pages
- 57–105
- Publication date
- 27 August 2026
- Language
- EN