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024 7 _a10.1007/978-981-97-0225-1
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072 7 _aMAT007000
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245 1 0 _aKolmogorov Operators and Their Applications
_h[electronic resource] /
_cedited by Stéphane Menozzi, Andrea Pascucci, Sergio Polidoro.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aVIII, 349 p. 2 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer INdAM Series,
_x2281-5198 ;
_v56
505 0 _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.
520 _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.
650 0 _aDifferential equations.
650 0 _aStochastic analysis.
_959375
650 1 4 _aDifferential Equations.
650 2 4 _aStochastic Analysis.
_959375
700 1 _aMenozzi, Stéphane.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_977737
700 1 _aPascucci, Andrea.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_977738
700 1 _aPolidoro, Sergio.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_977739
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819702244
776 0 8 _iPrinted edition:
_z9789819702268
830 0 _aSpringer INdAM Series,
_x2281-5198 ;
_v56
_977740
856 4 0 _uhttps://doi.org/10.1007/978-981-97-0225-1
912 _aZDB-2-SMA
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