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The evolution problem in general relativity
Authors: ---
ISBN: 9781461274087 0817642544 3764342544 Year: 2003 Publisher: Boston : Birkhäuser,

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Abstract

"The global aspects of the problem of evolution equations in general relativity are examined. Central to the work is a revisit of the proof of the global stability of Minkowski space, as presented by Christodoulou and Klainerman (1993). The focus, therefore, is on a new self-contained proof of the main part of that result which concerns the full solution of the radiation problem in vacuum for arbitrary asymptotic flat initial data sets. While technical motivation is clearly and systematically provided for this proof, many important related concepts and results, some well established, others new, unfold along the way." "A comprehensive bibliography and index complete this important monograph, aimed at researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."--BOOK JACKET

Linear and quasilinear parabolic problems
Author:
ISBN: 3764351144 0817651144 3034899505 3034892217 Year: 1995 Volume: 89 Publisher: Basel Birkhäuser

Lectures on nonlinear evolution equations : initial value problems
Author:
ISBN: 3528064218 Year: 1992 Volume: E19 Publisher: Braunschweig : Vieweg,

Singularly perturbed evolution equations with applications to kinetic theory
Authors: ---
ISBN: 9810221258 Year: 1995 Volume: 34 Publisher: Singapore : World Scientific,

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The method of discretization in time and partial differential equations
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ISBN: 9027713421 Year: 1982 Volume: 4 Publisher: Dordrecht Reidel

Elementary stability and bifurcation theory
Authors: ---
ISBN: 0387970681 3540970681 1461269776 1461209978 Year: 1990 Publisher: New York, NY Berlin : Springer,


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Twisted pseudodifferential calculus and application to the quantum evolution of molecules.
Authors: ---
ISBN: 9780821842966 082184296X Year: 2009 Publisher: Providence American Mathematical Society


Book
Gradient Flows
Authors: --- --- --- ---
ISBN: 9783764387228 3764387211 9783764387211 9786611851361 1281851361 376438722X Year: 2008 Publisher: Basel Birkhäuser Basel

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Abstract

Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure, this book focuses on gradient flows in metric spaces. It covers gradient flows in the space of probability measures on a separable Hilbert space, endowed with the Kantorovich-Rubinstein-Wasserstein distance.

Keywords

Differential geometry. Global analysis --- Mathematical physics --- Operational research. Game theory --- differentiaalvergelijkingen --- kansrekening --- differentiaal geometrie --- stochastische analyse --- Measure theory --- Metric spaces --- Differential equations, Partial --- Monotone operators --- Evolution equations, Nonlinear --- Mesure, Théorie de la --- Espaces métriques --- Equations aux dérivées partielles --- Opérateurs monotones --- Equations d'évolution non linéaires --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Global analysis (Mathematics). --- Mathematics. --- Global differential geometry. --- Distribution (Probability theory. --- Analysis. --- Measure and Integration. --- Differential Geometry. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Geometry, Differential --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Measure theory. --- Differential geometry. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Differential geometry --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- 517.1 Mathematical analysis --- Mathematical analysis --- Metric spaces. --- Differential equations, Parabolic. --- Monotone operators. --- Evolution equations, Nonlinear. --- Operator theory --- Parabolic differential equations --- Parabolic partial differential equations --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Nonlinear equations of evolution --- Nonlinear evolution equations --- Differential equations, Nonlinear

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