03143nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207245013800223250001800361264007200379300006400451336002600515337002600541338003600567347002400603490004400627505096500671520049301636650002802129650002502157650002802182650002502210700008202235700007902317700007902396710003402475773002602509776003602535776003602571830004402607856004602651978-981-97-0225-1DE-He21320251030112240.0cr nn 008mamaa240529s2024    si |    s    |||| 0|eng d  a97898197022517 a10.1007/978-981-97-0225-12doi 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema10aKolmogorov Operators and Their Applicationsh[electronic resource] /cedited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro.  a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024.  aVIII, 349 p. 2 illus., 1 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer INdAM Series,x2281-5198 ;v560 aChapter 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.  aKolmogorov 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. 0aDifferential equations. 0aStochastic analysis.14aDifferential Equations.24aStochastic Analysis.1 aMenozzi, Stéphane.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aPascucci, Andrea.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aPolidoro, Sergio.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981970224408iPrinted edition:z9789819702268 0aSpringer INdAM Series,x2281-5198 ;v5640uhttps://doi.org/10.1007/978-981-97-0225-1