Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs.
Advances in Analysis and Geometry Ser.

Sun  Yuhua.; Grigor'yan  Alexander.

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dc.contributor.author	Grigor'yan Alexander.
dc.contributor.author	Sun Yuhua.
dc.date.accessioned	2024-01-26T21:43:35Z
dc.date.available	2024-01-26T21:43:35Z
dc.date.issued	2021
dc.identifier.citation	Grigor'yan и др. Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. Advances in Analysis and Geometry Ser. - Berlin/Boston: Walter de Gruyter GmbH, 2021 - 1 online resource (526 p.). - URL: https://libweb.kpfu.ru/ebsco/pdf/2730526.pdf
dc.identifier.isbn	311070076X
dc.identifier.isbn	9783110700763
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/178872
dc.description	Description based upon print version of record.
dc.description.abstract	The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
dc.description.tableofcontents	Intro -- Contents -- Preface -- Part I: Fractals and graphs -- Stability of heat kernel estimates and parabolic Harnack inequalities for general symmetric pure jump processes -- The pointwise existence and properties of heat kernel -- Resistance estimates and critical exponents of Dirichlet forms on fractals -- A survey on unbounded Laplacians and intrinsic metrics on graphs -- Energy measures for diffusions on fractals: a survey -- Hyperbolic graphs induced by iterations and applications in fractals -- Geometric implications of fast volume growth and capacity estimates
dc.description.tableofcontents	Parabolic index of an infinite graph and Ahlfors regular conformal dimension of a self-similar set -- Metrics and uniform Harnack inequality on the Strichartz hexacarpet -- Part II: Euclidean spaces and manifolds -- Analysis on manifolds and volume growth -- Geometric analysis on manifolds with ends -- A matrix Harnack estimate for a Kolmogorov type equation -- Entropy power concavity inequality on Riemannian manifolds and Ricci flow -- Fractional differential operators and divergence equations -- Interior gradient estimates for mean curvature type equations and related flows
dc.description.tableofcontents	An alternate induction argument in Simons' proof of holonomy theorem -- Higher integrability for nonlinear nonlocal equations with irregular kernel -- On nonexistence results of porous medium type equations and differential inequalities on Riemannian manifolds -- Index
dc.language	English
dc.language.iso	en
dc.publisher	Berlin/Boston Walter de Gruyter GmbH
dc.relation.ispartofseries	Advances in Analysis and Geometry Ser.. v.3
dc.relation.ispartofseries	Advances in Analysis and Geometry Ser.
dc.subject.other	Differential equations, Partial.
dc.subject.other	Stochastic processes.
dc.subject.other	Partielle Differenzialgleichung.
dc.subject.other	MATHEMATICS / Differential Equations / General.
dc.subject.other	Differential equations, Partial.
dc.subject.other	Stochastic processes.
dc.subject.other	Electronic books.
dc.title	Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. Advances in Analysis and Geometry Ser.
dc.type	Book
dc.description.pages	1 online resource (526 p.).
dc.collection	Электронно-библиотечные системы
dc.source.id	EN05CEBSCO05C2695