03499nam a22005295i 4500 978-981-97-0225-1 DE-He213 20251030112240.0 cr nn 008mamaa 240529s2024 si | s |||| 0|eng d 9789819702251 978-981-97-0225-1 10.1007/978-981-97-0225-1 doi QA370-380 PBKJ bicssc MAT007000 bisacsh PBKJ thema Kolmogorov Operators and Their Applications [electronic resource] / edited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. VIII, 349 p. 2 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer INdAM Series, 2281-5198 ; 56 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. 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 the most recent developments of the theory. Particular emphasis has been given to degenerate partial differential equations, Itô processes, applications to kinetic theory and to finance. Differential equations. Stochastic analysis. 59375 Differential Equations. Stochastic Analysis. 59375 Menozzi, Stéphane. editor. edt http://id.loc.gov/vocabulary/relators/edt 77737 Pascucci, Andrea. editor. edt http://id.loc.gov/vocabulary/relators/edt 77738 Polidoro, Sergio. editor. edt http://id.loc.gov/vocabulary/relators/edt 77739 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819702244 Printed edition: 9789819702268 Springer INdAM Series, 2281-5198 ; 56 77740 https://doi.org/10.1007/978-981-97-0225-1 ZDB-2-SMA ZDB-2-SXMS 60254 60254