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Volumn 48, Issue 3, 1998, Pages 797-835

A parametrix construction for wave equations with C1,1 coefficients

Author keywords

Paradifferential operators; Strichartz estimates; Wave equation

Indexed keywords


EID: 0032394554     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1640     Document Type: Article
Times cited : (196)

References (14)
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    • 0001923237 scopus 로고
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    • (1978) Soc. Math. France , vol.57
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    • Fefferman, C.1
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    • Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients
    • A.E. HURD and D.H. SATTINGER, Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients, Trans. Amer. Math. Soc., 132 (1968), 159-174.
    • (1968) Trans. Amer. Math. Soc. , vol.132 , pp. 159-174
    • Hurd, A.E.1    Sattinger, D.H.2
  • 7
    • 0001284137 scopus 로고
    • Nonlinear small data scattering for the wave and Klein-Gordan equations
    • H. PECHER, Nonlinear small data scattering for the wave and Klein-Gordan equations, Math. Z., 185 (1984), 261-270.
    • (1984) Math. Z. , vol.185 , pp. 261-270
    • Pecher, H.1
  • 8
    • 0001573795 scopus 로고
    • Regularity properties of Fourier integral operators
    • A. SEEGER, C.D. SOGGE and E.M. STEIN, Regularity properties of Fourier integral operators, Annals Math., 133 (1991), 231-251.
    • (1991) Annals Math. , vol.133 , pp. 231-251
    • Seeger, A.1    Sogge, C.D.2    Stein, E.M.3
  • 9
    • 85033891478 scopus 로고    scopus 로고
    • A Hardy space for Fourier integral operators
    • to appear
    • H. SMITH, A Hardy space for Fourier integral operators, Jour. Geom. Anal., to appear.
    • Jour. Geom. Anal.
    • Smith, H.1
  • 10
    • 0000745292 scopus 로고
    • On Strichartz and eigenfunction estimates for low regularity metrics
    • H. SMITH and C. SOGGE, On Strichartz and eigenfunction estimates for low regularity metrics, Math. Res. Lett., 1 (1994), 729-737.
    • (1994) Math. Res. Lett. , vol.1 , pp. 729-737
    • Smith, H.1    Sogge, C.2
  • 11
    • 84968497892 scopus 로고
    • On the critical semilinear wave equation outside convex obstacles
    • H. SMITH and C. SOGGE, On the critical semilinear wave equation outside convex obstacles, Jour. Amer. Math. Soc., 8 (1995), 879-916.
    • (1995) Jour. Amer. Math. Soc. , vol.8 , pp. 879-916
    • Smith, H.1    Sogge, C.2
  • 13
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    • A priori estimates for the wave equation and some applications
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  • 14
    • 84972553620 scopus 로고
    • Restriction of fourier transform to quadratic surfaces and decay of solutions to the wave equation
    • R. STRICHARTZ, Restriction of Fourier transform to quadratic surfaces and decay of solutions to the wave equation, Duke Math. J., 44 (1977), 705-714.
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    • Strichartz, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.