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Kolmogorov operators and their applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kolmogorov operators and their applications/ edited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro.
other author:	Menozzi, Stéphan.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	viii, 349 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Partial. -
Online resource:	https://doi.org/10.1007/978-981-97-0225-1
ISBN:	9789819702251

Kolmogorov operators and their applications
Kolmogorov operators and their applications[electronic resource] /edited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro. - Singapore :Springer Nature Singapore :2024. - viii, 349 p. :ill. (some col.), digital ;24 cm. - Springer INdAM series,v. 562281-5198 ;. - Springer INdAM series ;v. 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.

ISBN: 9789819702251

Standard No.: 10.1007/978-981-97-0225-1doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA374 / .K65 2024

Dewey Class. No.: 515.353

Kolmogorov operators and their applications
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245 0 0 $a Kolmogorov operators and their applications $h [electronic resource] / $c edited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2024.
300 $a viii, 349 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Stochastic differential equations. $3 621860
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700 1 $a Menozzi, Stéphan. $3 3717955
700 1 $a Pascucci, Andrea. $3 901340
700 1 $a Polidoro, Sergio. $3 3717956
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Springer INdAM series ; $v v. 56. $3 3717957
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950 $a Mathematics and Statistics (SpringerNature-11649)