CONFORMAL SCATTERING AND THE GOURSAT PROBLEM
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Publication:5315527
DOI10.1142/S0219891604000123zbMath1074.83019MaRDI QIDQ5315527
Lionel J. Mason, Jean-Philippe Nicolas
Publication date: 8 September 2005
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Scattering theory for PDEs (35P25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Degenerate hyperbolic equations (35L80)
Related Items (25)
On lars Hörmander's remark on the characteristic Cauchy problem ⋮ CONFORMAL SCATTERING FOR A NONLINEAR WAVE EQUATION ⋮ Regularity at space-like and null infinity ⋮ Conformal scattering on the Schwarzschild metric ⋮ Conformal scattering theory for the Dirac equation on Kerr spacetime ⋮ On the scattering of waves inside charged spherically symmetric black holes ⋮ A scattering theory for linear waves on the interior of Reissner-Nordström black holes ⋮ Peeling-off behavior of wave equation in the Vaidya spacetime ⋮ Hörmander's method for the characteristic Cauchy problem and conformal scattering for a nonlinear wave equation ⋮ Conformal scattering of the Maxwell-scalar field system on de Sitter space ⋮ Peeling of Dirac field on Kerr spacetime ⋮ Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime ⋮ The Conformal Approach to Asymptotic Analysis ⋮ Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds ⋮ Conformal extension of the Bunch-Davies state across the de Sitter boundary ⋮ Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime ⋮ Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential ⋮ Peeling on Kerr spacetime: linear and semi-linear scalar fields ⋮ WAVE PROPAGATION AND SCATTERING FOR THE RS2 BRANE COSMOLOGY MODEL ⋮ The Maxwell field on the Schwarzschild space–time: behaviour near spatial infinity ⋮ Scattering theory for Dirac fields inside a Reissner–Nordström-type black hole ⋮ ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME ⋮ THE CHARACTERISTIC CAUCHY PROBLEM FOR DIRAC FIELDS ON CURVED BACKGROUNDS ⋮ Conformal scattering of Maxwell fields on Reissner-Nordström-de Sitter Black Hole spacetimes ⋮ Cauchy and Goursat problems for the generalized spin zero rest-mass equations on Minkowski spacetime
Cites Work
- Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I
- Scattering for the wave equation on the Schwarzschild metric
- A remark on the characteristic Cauchy problem
- The global Goursat problem and scattering for nonlinear wave equations
- Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. II
- Radiation fields and hyperbolic scattering theory
- Global Results for the Rarita-Schwinger Equations and Einstein Vacuum Equations
- Scattering of massive Dirac fields on the Schwarzschild black hole spacetime
- On the differentiability conditions at spacelike infinity
- On local and global aspects of the Cauchy problem in general relativity
- Creation of fermions at the charged black-hole horizon
- Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. (Asymptotic completeness for the wave equation in a class of stationary and asymptotically flat space-times)
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
- Notes on the wave equation on asymptotically Euclidean manifolds
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