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Stability of Minkowski space and polyhomogeneity of the metric (Q2658697)

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Language	Label	Description	Also known as
English	Stability of Minkowski space and polyhomogeneity of the metric	scientific article

Statements

scholarly article

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Stability of Minkowski space and polyhomogeneity of the metric (English)

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publication date

23 March 2021

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full work available at URL

https://arxiv.org/abs/1711.00195

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zbMATH Keywords

Minkowski space

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Einstein vacuum equation

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MaRDI profile type

MaRDI publication profile

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Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity

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Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

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On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

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Trapped surfaces in vacuum arising dynamically from mild incoming radiation

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The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions

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Gravitational radiation from post-Newtonian sources and inspiralling compact binaries

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Gravitational Waves in General Relativity

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Radiation fields for semilinear wave equations

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Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system

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Asymptotics of radiation fields in asymptotically Minkowski space

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Asymptotics of scalar waves on long-range asymptotically Minkowski spaces

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Radiation fields on Schwarzschild spacetime

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Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires

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Global solutions of the Einstein–Maxwell equations in higher dimensions

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Global aspects of the Cauchy problem in general relativity

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Solution of the local mass problem in general relativity

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On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications

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Global solutions of nonlinear hyperbolic equations for small initial data

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Nonlinear nature of gravitation and gravitational-wave experiments

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The formation of black holes in general relativity.

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Long time existence from interior gluing

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POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS

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Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐ

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Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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Characteristic initial data and smoothness of Scri. I: Framework and results

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Localizing solutions of the Einstein constraint equations

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SOLUTIONS OF QUASI-LINEAR WAVE EQUATIONS POLYHOMOGENEOUS AT NULL INFINITY IN HIGH DIMENSIONS

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Existence of metrics with prescribed Ricci curvature: Local theory

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Lectures on black holes and linear waves

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A vector field method for relativistic transport equations with applications

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Radiation fields and hyperbolic scattering theory

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Cauchy problems for the conformal vacuum field equations in general relativity

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On the hyperbolicity of Einstein's and other gauge field equations

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On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure

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On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations

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Gravitational fields near space-like and null infinity

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Constraint damping in the Z4 formulation and harmonic gauge

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Einstein metrics with prescribed conformal infinity on the ball

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Cone pseudodifferential operators in the edge symbolic calculus

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Scattering matrix in conformal geometry

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Resonances for symmetric tensors on asymptotically hyperbolic spaces

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The inverse function theorem of Nash and Moser

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Global analysis of quasilinear wave equations on asymptotically de Sitter spaces

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Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes

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Lectures on nonlinear hyperbolic differential equations

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The analysis of linear partial differential operators. III: Pseudo-differential operators

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Propagation of Singularities Around a Lagrangian Submanifold of Radial Points

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Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes

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Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces

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The global non-linear stability of the Kerr-de Sitter family of black holes

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Resonances for obstacles in hyperbolic space

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Blow-up for quasi-linear wave equations in three space dimensions

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A fully anisotropic mechanism for formation of trapped surfaces in vacuum

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The evolution problem in general relativity

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Peeling properties of asymptotically flat solutions to the Einstein vacuum equations

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On the formation of trapped surfaces

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On the lifespan of solutions of nonlinear wave equations with small initial data

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Global solutions of nonlinear wave equations

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Global solutions of quasilinear wave equations

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On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates

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The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model

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Global solutions for the Einstein-Maxwell equations in harmonic gauge and Lorentz gauge.

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The weak null condition for Einstein's equations.

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Global existence for the Einstein vacuum equations in wave coordinates

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The global stability of Minkowski space-time in harmonic gauge

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Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge

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The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes

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Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

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Elliptic theory of differential edge operators I

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Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

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Diffraction of singularities for the wave equation on manifolds with corners

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Propagation of singularities for the wave equation on conic manifolds

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An Approach to Gravitational Radiation by a Method of Spin Coefficients

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Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets

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Zero rest-mass fields including gravitation: asymptotic behaviour

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Asymptotic Symmetries in Gravitational Theory

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Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time

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The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates

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A simple Nash-Moser implicit function theorem

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On the proof of the positive mass conjecture in general relativity

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Partial differential equations. 3: Nonlinear equations

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Propagation of singularities for the wave equation on manifolds with corners

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The wave equation on asymptotically de Sitter-like spaces

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Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)

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A new class of obstructions to the smoothness of null infinity

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A new proof of the positive energy theorem.

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Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited

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Identifiers

zbMATH Open document ID

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10.1007/s40818-020-0077-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2658697

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