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Volumn 4, Issue 3, 2007, Pages 401-433

A Kirchoff-Sobolev parametrix for the wave equation and applications

Author keywords

Kirchoff; Paramix; Wave equation; Yang Mills

Indexed keywords


EID: 34447277696     PISSN: 02198916     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219891607001203     Document Type: Article
Times cited : (27)

References (15)
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  • 3
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    • Global existence of solutions of the Yang-Mills equations on globally hyperbolic four-dimensional Lorentzian manifolds
    • P. Chrúsciel and J. Shatah, Global existence of solutions of the Yang-Mills equations on globally hyperbolic four-dimensional Lorentzian manifolds, Asian J. Math. 1(3) (1997) 530-548.
    • (1997) Asian J. Math , vol.1 , Issue.3 , pp. 530-548
    • Chrúsciel, P.1    Shatah, J.2
  • 4
    • 3543079815 scopus 로고
    • The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
    • D. Eardley and V. Moncrief, The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties, Commun. Math. Phys. 83(2) (1982) 171-191.
    • (1982) Commun. Math. Phys , vol.83 , Issue.2 , pp. 171-191
    • Eardley, D.1    Moncrief, V.2
  • 5
    • 33744688485 scopus 로고
    • The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proofs
    • D. Eardley and V. Moncrief, The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proofs, Commun. Math. Phys. 83(2) (1982) 193-212.
    • (1982) Commun. Math. Phys , vol.83 , Issue.2 , pp. 193-212
    • Eardley, D.1    Moncrief, V.2
  • 8
    • 0017428498 scopus 로고
    • Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
    • T. J. R. Hughes, T. Kato and J. E. Marsden, Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity, Arch. Ration. Mech. Anal. 63 (1977) 273-394.
    • (1977) Arch. Ration. Mech. Anal , vol.63 , pp. 273-394
    • Hughes, T.J.R.1    Kato, T.2    Marsden, J.E.3
  • 10
    • 13844275551 scopus 로고    scopus 로고
    • Causal geometry of Einstein-vacuum spacetimes with finite curvature flux
    • S. Klainerman and I. Rodnianski, Causal geometry of Einstein-vacuum spacetimes with finite curvature flux, Invent. Math. 159 (2005) 437-529.
    • (2005) Invent. Math , vol.159 , pp. 437-529
    • Klainerman, S.1    Rodnianski, I.2
  • 11
    • 33646494047 scopus 로고    scopus 로고
    • A geometric approach to Littlewood-Paley theory
    • to appear in
    • S. Klainerman and I. Rodnianski, A geometric approach to Littlewood-Paley theory, to appear in Geom. Funct. Anal.
    • Geom. Funct. Anal
    • Klainerman, S.1    Rodnianski, I.2
  • 12
    • 33646475001 scopus 로고    scopus 로고
    • Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
    • to appear in
    • S. Klainerman and I. Rodnianski, Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux, to appear in Geom. Funct. Anal.
    • Geom. Funct. Anal
    • Klainerman, S.1    Rodnianski, I.2
  • 13
    • 34447274797 scopus 로고    scopus 로고
    • Lower bounds for the radius of injectivity of null hypersurfaces
    • preprint
    • S. Klainerman and I. Rodnianski, Lower bounds for the radius of injectivity of null hypersurfaces, preprint.
    • Klainerman, S.1    Rodnianski, I.2
  • 14
    • 84878045723 scopus 로고    scopus 로고
    • A large data break-down criterion in General Relativity
    • in preparation
    • S. Klainerman and I. Rodnianski, A large data break-down criterion in General Relativity, in preparation.
    • Klainerman, S.1    Rodnianski, I.2
  • 15
    • 0001995409 scopus 로고
    • Methodes nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales
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    • Sobolev, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.