Kolmogorov Operators and Their Applications

Kolmogorov equations are a fundamental bridge between the theory of partial differential equations and that of stochastic differential equations that arise in several research fields. This volume collects a selection of the talks given at the Cortona meeting by experts in both fields, who presented...

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Bibliographic Details
Other Authors: Menozzi, Stéphane (Editor), Pascucci, Andrea (Editor), Polidoro, Sergio (Editor)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2024, 2024
Edition:1st ed. 2024
Series:Springer INdAM Series
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Chapter 1. Local Regularity for the Landau Equation (with Coulomb Interaction Potential)
  • Chapter 2. L 2 Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states
  • Chapter 3. New Perspectives on recent trends for Kolmogorov operators
  • Chapter 4. Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Holder continuous in space.-Chapter 5. A new proof of the geometric Soboleva embedding for generalised Kolmogorov operators
  • Chapter 6. Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups
  • Chapter 7. Form-boundedness and sdes with singular drift
  • Chapter 8. About the regularity of degenerate non-local Kolmogorov operators under diffusive perturbations
  • Chapter 9. Integration by parts formula for exit times of one dimensional diffusions
  • Chapter 10. On averaged control and iteration improvement for a class of multidimensional ergodicdiffusions