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010 a| 2020023529;

020 a| 9781470439132q| (paperback);

020 z| 9781470455149q| (ebook);

035 a| (WaSeSS)ssj0002325380;

040 a| LBSOR/DLCb| engc| DLCd| WaSeSS;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA611.28b| .A42 2019;

082 00 a| 514/.3252| 23;

084 a| 49J52a| 49Q20a| 35K55a| 58J35a| 35K90a| 31C25a| 58B202| msc;

100 1 a| Ambrosio, Luigi.=| ^A466015;

245 10 a| Nonlinear diffusion equations and curvature conditions in metric measure spacesh| [electronic resource] /c| Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré.;

260 a| Providence, RI :b| American Mathematical Society,c| 2019.;

300 a| v, 121 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1270;

504 a| Includes bibliographical references (pages 119-121).;

505 0 a| Contraction and convexity via Hamiltonian estimates : an heuristic argument -- Dirichlet forms, homogeneous spaces and nonlinear diffusion -- Backward and forward linearizations of nonlinear diffusion -- Preliminaries -- Absolutely continuous curves in Wasserstein spaces and continuity inequalities in a metric setting -- Weighted energy functionals along absolutely continuous curves -- Dynamic Kantorovich potentials, continuity equation and dual weighted Cheeger energies -- The RCD* (K, N) condition and its characterizations through weighted convexity and evolution variational inequalities -- The Bakry-Émery condition -- Nonlinear diffusion equations and action estimates -- The equivalence between BE(K, N) and RCD* (K, N).;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Metric spaces.=| ^A36925;

650 0 a| Burgers equation.=| ^A74639;

650 0 a| Curvature.=| ^A38834;

650 0 a| Nonsmooth optimization.=| ^A396622;

650 0 a| Variational inequalities (Mathematics)=| ^A177597;

650 0 a| Differential equations, Parabolic.=| ^A58568;

650 0 a| Dirichlet forms.=| ^A286904;

650 7 a| Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] -- Existence theories -- Nonsmooth analysis [See also 46G05, 58C50, 90C56].2| msc;

650 7 a| Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] -- Manifolds [See also 58Exx] -- Variational problems in a geometric measure-theoretic setting.2| msc;

650 7 a| Partial differential equations -- Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] -- Nonlinear parabolic equations.2| msc;

650 7 a| Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Partial differential equations on manifolds; differential op2| msc;

650 7 a| Partial differential equations -- Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] -- Abstract parabolic equations.2| msc;

650 7 a| Potential theory {For probabilistic potential theory, see 60J45} -- Other generalizations -- Dirichlet spaces.2| msc;

650 7 a| Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Infinite-dimensional manifolds -- Riemannian, Finsler and ot2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Mondino, Andrea,d| 1984-?| UNAUTHORIZED;

700 1 a| Savaré, Giuseppe.=| ^A604804;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6118470;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5652110-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 7/20/2021x| EBOOKz| JERESOURCE;

Nonlinear diffusion equations and curvature conditions in metric measure spaces / Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré.

Author/creator	Ambrosio, Luigi
Other author	Mondino, Andrea, 1984-
Other author	Savaré, Giuseppe.
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, 2019.
Description	v, 121 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Metric spaces. Burgers equation. Curvature. Nonsmooth optimization. Variational inequalities (Mathematics) Differential equations, Parabolic. Dirichlet forms.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1270
Contents	Contraction and convexity via Hamiltonian estimates : an heuristic argument -- Dirichlet forms, homogeneous spaces and nonlinear diffusion -- Backward and forward linearizations of nonlinear diffusion -- Preliminaries -- Absolutely continuous curves in Wasserstein spaces and continuity inequalities in a metric setting -- Weighted energy functionals along absolutely continuous curves -- Dynamic Kantorovich potentials, continuity equation and dual weighted Cheeger energies -- The RCD* (K, N) condition and its characterizations through weighted convexity and evolution variational inequalities -- The Bakry-Émery condition -- Nonlinear diffusion equations and action estimates -- The equivalence between BE(K, N) and RCD* (K, N).
Bibliography note	Includes bibliographical references (pages 119-121).
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2020023529
ISBN	9781470439132 (paperback)
ISBN	(ebook)

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Nonlinear diffusion equations and curvature conditions in metric measure spaces / Luigi Ambrosio, Andrea Mondino, Giuseppe Savaré.

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