Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / / ed. by Alexander Grigor'yan, Yuhua Sun.
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 mathem...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
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Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / ed. by Alexander Grigor'yan, Yuhua Sun. Berlin ; Boston : De Gruyter, [2021] ©2021 1 online resource (VIII, 518 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advances in Analysis and Geometry , 2511-0438 ; 3 Frontmatter -- 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 -- 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 -- 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Partielle Differenzialgleichung. MATHEMATICS / Differential Equations / General. bisacsh Chen, Zhen-Qing, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grigor'yan, Alexander, editor. edt http://id.loc.gov/vocabulary/relators/edt Grigor’yan, Alexander, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gu, Qingsong, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hu, Eryan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hu, Jiaxin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hua, Bobo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Huang, Xueping, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ishiwata, Satoshi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jaschek, Tim, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jiang, Feida, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kajino, Naotaka, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kong, Shi-Lei, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kumagai, Takashi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lau, Ka-Sing, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Li, Songzi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Li, Xiang-Dong, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liu, Liguang, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Luo, Jun Jason, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ma, Li, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Murugan, Mathav, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ni, Lei, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nowak, Simon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Saloff-Coste, Laurent, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shen, Xinyi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shimizu, Ryosuke, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sun, Yuhua, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sun, Yuhua, editor. edt http://id.loc.gov/vocabulary/relators/edt Wang, Jian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wang, Xiang-Yang, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xiao, Jie, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xu, Fanheng, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Yang, Meng, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA EPUB 9783110700855 print 9783110700633 https://doi.org/10.1515/9783110700763 https://www.degruyter.com/isbn/9783110700763 Cover https://www.degruyter.com/document/cover/isbn/9783110700763/original |
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English |
format |
eBook |
author2 |
Chen, Zhen-Qing, Chen, Zhen-Qing, Grigor'yan, Alexander, Grigor'yan, Alexander, Grigor’yan, Alexander, Grigor’yan, Alexander, Gu, Qingsong, Gu, Qingsong, Hu, Eryan, Hu, Eryan, Hu, Jiaxin, Hu, Jiaxin, Hua, Bobo, Hua, Bobo, Huang, Xueping, Huang, Xueping, Ishiwata, Satoshi, Ishiwata, Satoshi, Jaschek, Tim, Jaschek, Tim, Jiang, Feida, Jiang, Feida, Kajino, Naotaka, Kajino, Naotaka, Kong, Shi-Lei, Kong, Shi-Lei, Kumagai, Takashi, Kumagai, Takashi, Lau, Ka-Sing, Lau, Ka-Sing, Li, Songzi, Li, Songzi, Li, Xiang-Dong, Li, Xiang-Dong, Liu, Liguang, Liu, Liguang, Luo, Jun Jason, Luo, Jun Jason, Ma, Li, Ma, Li, Murugan, Mathav, Murugan, Mathav, Ni, Lei, Ni, Lei, Nowak, Simon, Nowak, Simon, Saloff-Coste, Laurent, Saloff-Coste, Laurent, Shen, Xinyi, Shen, Xinyi, Shimizu, Ryosuke, Shimizu, Ryosuke, Sun, Yuhua, Sun, Yuhua, Sun, Yuhua, Sun, Yuhua, Wang, Jian, Wang, Jian, Wang, Xiang-Yang, Wang, Xiang-Yang, Xiao, Jie, Xiao, Jie, Xu, Fanheng, Xu, Fanheng, Yang, Meng, Yang, Meng, |
author_facet |
Chen, Zhen-Qing, Chen, Zhen-Qing, Grigor'yan, Alexander, Grigor'yan, Alexander, Grigor’yan, Alexander, Grigor’yan, Alexander, Gu, Qingsong, Gu, Qingsong, Hu, Eryan, Hu, Eryan, Hu, Jiaxin, Hu, Jiaxin, Hua, Bobo, Hua, Bobo, Huang, Xueping, Huang, Xueping, Ishiwata, Satoshi, Ishiwata, Satoshi, Jaschek, Tim, Jaschek, Tim, Jiang, Feida, Jiang, Feida, Kajino, Naotaka, Kajino, Naotaka, Kong, Shi-Lei, Kong, Shi-Lei, Kumagai, Takashi, Kumagai, Takashi, Lau, Ka-Sing, Lau, Ka-Sing, Li, Songzi, Li, Songzi, Li, Xiang-Dong, Li, Xiang-Dong, Liu, Liguang, Liu, Liguang, Luo, Jun Jason, Luo, Jun Jason, Ma, Li, Ma, Li, Murugan, Mathav, Murugan, Mathav, Ni, Lei, Ni, Lei, Nowak, Simon, Nowak, Simon, Saloff-Coste, Laurent, Saloff-Coste, Laurent, Shen, Xinyi, Shen, Xinyi, Shimizu, Ryosuke, Shimizu, Ryosuke, Sun, Yuhua, Sun, Yuhua, Sun, Yuhua, Sun, Yuhua, Wang, Jian, Wang, Jian, Wang, Xiang-Yang, Wang, Xiang-Yang, Xiao, Jie, Xiao, Jie, Xu, Fanheng, Xu, Fanheng, Yang, Meng, Yang, Meng, |
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author_sort |
Chen, Zhen-Qing, |
title |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / |
spellingShingle |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / Advances in Analysis and Geometry , Frontmatter -- 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 -- 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 -- 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 |
title_full |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / ed. by Alexander Grigor'yan, Yuhua Sun. |
title_fullStr |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / ed. by Alexander Grigor'yan, Yuhua Sun. |
title_full_unstemmed |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / ed. by Alexander Grigor'yan, Yuhua Sun. |
title_auth |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / |
title_alt |
Frontmatter -- 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 -- 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 -- 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 |
title_new |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / |
title_sort |
analysis and partial differential equations on manifolds, fractals and graphs / |
series |
Advances in Analysis and Geometry , |
series2 |
Advances in Analysis and Geometry , |
publisher |
De Gruyter, |
publishDate |
2021 |
physical |
1 online resource (VIII, 518 p.) Issued also in print. |
contents |
Frontmatter -- 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 -- 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 -- 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 |
isbn |
9783110700763 9783110750720 9783110750706 9783110754001 9783110753776 9783110754131 9783110753905 9783110700855 9783110700633 |
issn |
2511-0438 ; |
url |
https://doi.org/10.1515/9783110700763 https://www.degruyter.com/isbn/9783110700763 https://www.degruyter.com/document/cover/isbn/9783110700763/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110700763 |
oclc_num |
1232280064 |
work_keys_str_mv |
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Title is part of eBook package: De Gruyter DG Ebook Package English 2021 Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 |
is_hierarchy_title |
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs / |
container_title |
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Written by experts in the field, this book is a valuable tool for the advanced mathematician.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. 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code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gu, Qingsong, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Eryan, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hu, Jiaxin, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hua, Bobo, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Huang, Xueping, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ishiwata, Satoshi, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jaschek, Tim, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jiang, Feida, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield 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