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Volumn 454, Issue 1972, 1998, Pages 1073-1107

The Cauchy problem for quasi-linear hyperbolic evolution problems with a singularity in the time

Author keywords

Conformai Einstein equations; Conformai singularity; Semigroup; Symmetric hyperbolic system; Weyl curvature hypothesis

Indexed keywords


EID: 0347920868     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0197     Document Type: Article
Times cited : (47)

References (14)
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    • Fischer, A.E.1    Marsden, J.E.2
  • 2
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    • The identity of weak and strong extensions of differential operators
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    • (1944) Trans. Am. Math. Soc. , vol.55 , pp. 132-151
    • Friedrichs, K.O.1
  • 3
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    • The large scale structure of space-time
    • Hawking, S. W. & Ellis, G. F. R. 1973 The large scale structure of space-time. Cambridge.
    • (1973) Cambridge.
    • Hawking, S.W.1    Ellis, G.F.R.2
  • 4
    • 0000744112 scopus 로고
    • Linear evolution equations of the hyperbolic type
    • Kato, T. 1970 Linear evolution equations of the hyperbolic type. I. J. Fac. Sci. Univ. Tokyo 17, 241-258.
    • (1970) I. J. Fac. Sci. Univ. Tokyo , vol.17 , pp. 241-258
    • Kato, T.1
  • 5
    • 84972511083 scopus 로고
    • Linear evolution equations of the 'hyperbolic' type
    • Kato, T. 1973 Linear evolution equations of the 'hyperbolic' type. II. J. Math. Soc. Jap. 25, 648-66G.
    • (1973) II. J. Math. Soc. Jap. , vol.25
    • Kato, T.1
  • 6
    • 0003123140 scopus 로고
    • Quasi-linear equations of evolution, with applications to partial differential equations
    • (ed. A. Dold & B. Eckmann), Springer Lecture Notes in Mathematics Berlin: Springer.
    • Kato, T. 1975a Quasi-linear equations of evolution, with applications to partial differential equations. In Spectral theory and differential equations (ed. A. Dold & B. Eckmann), Springer Lecture Notes in Mathematics 448, pp. 25-70. Berlin: Springer.
    • (1975) In Spectral Theory and Differential Equations , vol.448 , pp. 25-70
    • Kato, T.1
  • 7
    • 0016594542 scopus 로고
    • The Cauchy problem for quasi-linear symmetric hyperbolic systems
    • Kato, T. 1975& The Cauchy problem for quasi-linear symmetric hyperbolic systems. Arch. Ration. Mech. Analysis 58, 181-205.
    • (1975) Arch. Ration. Mech. Analysis , vol.58 , pp. 181-205
    • Kato, T.1
  • 9
    • 0000924907 scopus 로고
    • On the structure of conformai singularities in classical general relativity
    • Newman, R. P. A. C. 1993a On the structure of conformai singularities in classical general relativity. Proc. R. Soc. Land. A 443, 473-492.
    • (1993) Proc. R. Soc. Land. a , vol.443 , pp. 473-492
    • Newman, R.P.A.1
  • 11
    • 0003582674 scopus 로고
    • Foundations of global non-linear analysis
    • Palais, R. S. 1968 Foundations of global non-linear analysis. New York: Benjamin.
    • (1968) New York: Benjamin.
    • Palais, R.S.1
  • 12
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Pazy, A. 1983 Semigroups of linear operators and applications to partial differential equations. Applied Mathematical Sciences, vol. 44. Berlin: Springer.
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.