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001444308 001__ 1444308
001444308 003__ OCoLC
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001444308 019__ $$a1295804898
001444308 020__ $$a9783030841416$$q(electronic bk.)
001444308 020__ $$a3030841413$$q(electronic bk.)
001444308 020__ $$z9783030841409
001444308 020__ $$z3030841405
001444308 0247_ $$a10.1007/978-3-030-84141-6$$2doi
001444308 035__ $$aSP(OCoLC)1295702376
001444308 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dMNU$$dOCLCO$$dSFB$$dOCLCQ
001444308 049__ $$aISEA
001444308 050_4 $$aQA312$$b.B38 2022
001444308 08204 $$a515/.42$$223
001444308 1001_ $$aBaudoin, Fabrice,$$eauthor.
001444308 24510 $$aNew trends on analysis and geometry in metric spaces :$$bLevico Terme, Italy 2017 /$$cFabrice Baudoin, Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam ; Luigi Ambrosio, Bruno Franchi, Irina Markina, Francesco Serra Cassano, editors.
001444308 264_1 $$aCham :$$bSpringer,$$c[2022]
001444308 264_4 $$c©2022
001444308 300__ $$a1 online resource.
001444308 336__ $$atext$$btxt$$2rdacontent
001444308 337__ $$acomputer$$bc$$2rdamedia
001444308 338__ $$aonline resource$$bcr$$2rdacarrier
001444308 4901_ $$aLecture notes in mathematics. C.I.M.E. foundation subseries ;$$vvolume 2296
001444308 500__ $$aIncludes index.
001444308 5050_ $$aIntro -- Contents -- Introduction to the Notes of the School on Analysis and Geometry in Metric Spaces -- Geometric Inequalities on Riemannian and Sub-Riemannian Manifolds by Heat Semigroups Techniques -- 1 Introduction -- 2 Subelliptic Diffusion Operators -- 2.1 Diffusion Operators -- 2.2 Subelliptic Diffusion Operators -- 2.3 The Distance Associated to Subelliptic Diffusion Operators -- 2.4 Essentially Self-Adjoint Subelliptic Operators -- 2.5 The Heat Semigroup Associated to a Subelliptic Diffusion Operator
001444308 5058_ $$a3 The Heat Semigroup on a Complete Riemannian Manifold and Its Geometric Applications -- 3.1 The Laplace-Beltrami Operator -- 3.2 The Heat Semigroup on a Compact Riemannian Manifold -- 3.3 Bochner's Identity -- 3.4 The Curvature Dimension Inequality -- 3.5 Stochastic Completeness -- 3.6 Convergence to Equilibrium, Poincaré and Log-Sobolev Inequalities -- 3.7 The Li-Yau Inequality -- 3.8 The Parabolic Harnack Inequality -- 3.9 The Gaussian Upper Bound -- 3.10 Volume Doubling Property -- 3.11 Upper and Lower Gaussian Bounds for the Heat Kernel -- 3.12 The Poincaré Inequality on Domains
001444308 5058_ $$a6 Weak Besicovitch Covering Property -- References -- Sobolev Spaces in Extended Metric-Measure Spaces -- 1 Introduction -- 1.1 Main Notation -- 2 Topological and Metric-Measure Structures -- 2.1 Metric-Measure Structures -- 2.1.1 Topological and Measure Theoretic Notions -- 2.1.2 Extended Metric-Topological (Measure) Spaces -- 2.1.3 Examples -- 2.1.4 The Kantorovich-Rubinstein Distance -- 2.1.5 The Asymptotic Lipschitz Constant -- 2.1.6 Compatible Algebra of Functions -- 2.1.7 Embedding and Compactification of Extended Metric-Measure Spaces -- 2.1.8 Notes
001444308 5058_ $$a2.2 Continuous Curves and Nonparametric Arcs -- 2.2.1 Continuous Curves -- 2.2.2 Arcs -- 2.2.3 Rectifiable Arcs -- 2.2.4 Notes -- 2.3 Length and Conformal Distances -- 2.3.1 The Length Property -- 2.3.2 Conformal Distances -- 2.3.3 Duality for Kantorovich-Rubinstein Cost Functionals Induced by Conformal Distances -- 2.3.4 Notes -- 3 The Cheeger Energy -- 3.1 The Strongest Form of the Cheeger Energy -- 3.1.1 Relaxed Gradients and Local Representation of the Cheeger Energy -- 3.1.2 Invariance w.r.t. Restriction and Completion -- 3.1.3 Notes
001444308 506__ $$aAccess limited to authorized users.
001444308 520__ $$aThis book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot-Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.
001444308 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 11, 2022).
001444308 650_0 $$aGeometric measure theory.
001444308 650_0 $$aCalculus of variations.
001444308 650_0 $$aDifferential equations, Partial.
001444308 650_0 $$aGeometry, Differential.
001444308 650_6 $$aThéorie de la mesure géométrique.
001444308 650_6 $$aCalcul des variations.
001444308 650_6 $$aÉquations aux dérivées partielles.
001444308 650_6 $$aGéométrie différentielle.
001444308 655_7 $$aLlibres electrònics.$$2thub
001444308 655_0 $$aElectronic books.
001444308 7001_ $$aRigot, Séverine,$$eauthor.
001444308 7001_ $$aSavaré, Giuseppe,$$eauthor.
001444308 7001_ $$aShanmugalingam, Nageswari,$$eauthor.
001444308 7001_ $$aAmbrosio, Luigi,$$eeditor.
001444308 7001_ $$aFranchi, Bruno$$c(Mathematician),$$eeditor.
001444308 7001_ $$aMarkina, Irina$$c(Mathematician),$$eeditor.
001444308 7001_ $$aSerra Cassano, Francesco,$$eeditor.
001444308 77608 $$iPrint version: $$z3030841405$$z9783030841409$$w(OCoLC)1260190304
001444308 830_0 $$aLecture notes in mathematics (Springer-Verlag).$$pCIME Foundation subseries.
001444308 830_0 $$aLecture notes in mathematics (Springer-Verlag) ;$$v2296.
001444308 852__ $$bebk
001444308 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-84141-6$$zOnline Access$$91397441.1
001444308 909CO $$ooai:library.usi.edu:1444308$$pGLOBAL_SET
001444308 980__ $$aBIB
001444308 980__ $$aEBOOK
001444308 982__ $$aEbook
001444308 983__ $$aOnline
001444308 994__ $$a92$$bISE