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Volumn 1, Issue 3, 2007, Pages 537-556

Stability for solutions of wave equations with C1,1 coefficients

Author keywords

Parametrix; Stability; Wave equation

Indexed keywords


EID: 77953954800     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2007.1.537     Document Type: Article
Times cited : (8)

References (13)
  • 1
    • 85044960281 scopus 로고    scopus 로고
    • A multi-scale approach to hyperbolic evolution equations with limited smoothness
    • F. Andersson, M. V. de Hoop, H. Smith, and G. Uhlmann, A multi-scale approach to hyperbolic evolution equations with limited smoothness, Comm. PDE (to appear).
    • Comm. PDE
    • Andersson, F.1    De Hoop, M.V.2    Smith, H.3    Uhlmann, G.4
  • 2
    • 27744468800 scopus 로고    scopus 로고
    • The curvelet representation of wave propagators is optimally sparse
    • E. J. Candès and L. Demanet, The curvelet representation of wave propagators is optimally sparse, Comm. Pure Appl. Math., 58 (2005), 1472–1528.
    • (2005) Comm. Pure Appl. Math. , vol.58 , pp. 1472-1528
    • Cand, E.J.1    Èsdemanet, L.2
  • 3
    • 2442458882 scopus 로고    scopus 로고
    • New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
    • E. J. Candès and D. L. Donoho, New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities, Comm. Pure Appl. Math., 57 (2004), 219–266.
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 219-266
    • Candès, E.J.1    Donoho, D.L.2
  • 4
    • 0001670086 scopus 로고
    • Wave packets and fourier integral operators
    • Córdoba, A. and Fefferman, C., Wave packets and fourier integral operators, Comm. PDE, 3 (1978), 979–1005.
    • (1978) Comm. PDE , vol.3 , pp. 979-1005
    • Córdoba, A.1    Fefferman, C.2
  • 5
    • 33947632287 scopus 로고    scopus 로고
    • Microlocal analysis of seismic inverse scattering
    • (ed. G. Uhlmann,), Cambridge University Press, Cambridge
    • M. V. de Hoop, Microlocal analysis of seismic inverse scattering, in “Inside out. Inverse problems and applications” (ed. G. Uhlmann,), Cambridge University Press, Cambridge, 2003, pp. 219–296.
    • (2003) Inside Out. Inverse Problems and Applications , pp. 219-296
    • De Hoop, M.V.1
  • 6
    • 0007247106 scopus 로고
    • F.B.I. Transformation. Second Microlocalization and Semilinear Caustics
    • Springer-Verlag, Berlin
    • J.-M. Delort, “F.B.I. Transformation. Second Microlocalization and Semilinear Caustics,” Lecture notes in mathematics, vol. 1522, Springer-Verlag, Berlin, 1992.
    • (1992) Lecture Notes in Mathematics , vol.1522
    • Delort, J.-M.1
  • 8
    • 0032394554 scopus 로고    scopus 로고
    • A parametrix construction for wave equations with C1, 1 coefficients
    • H. Smith, A parametrix construction for wave equations with C1, 1 coefficients, Ann. Inst. Fourier Grenoble, 48 (1998), 797–835.
    • (1998) Ann. Inst. Fourier Grenoble , vol.48 , pp. 797-835
    • Smith, H.1
  • 9
    • 33750533144 scopus 로고    scopus 로고
    • Spectral cluster estimates for C1, 1 metrics
    • H. Smith, Spectral cluster estimates for C1, 1 metrics, Amer. J. Math., 128 (2006), 1069–1103.
    • (2006) Amer. J. Math. , vol.128 , pp. 1069-1103
    • Smith, H.1
  • 11
    • 0034164787 scopus 로고    scopus 로고
    • Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
    • D. Tataru, Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation, Amer. J. Math., 122 (2000), no. 2, 349–376.
    • (2000) Amer. J. Math. , vol.122 , Issue.2 , pp. 349-376
    • Tataru, D.1
  • 12
    • 0035373942 scopus 로고    scopus 로고
    • Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II
    • D. Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. II, Amer. J. Math., 123 (2001), no. 3, 385–423.
    • (2001) Amer. J. Math. , vol.123 , Issue.3 , pp. 385-423
    • Tataru, D.1
  • 13
    • 0036004368 scopus 로고    scopus 로고
    • Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III
    • D. Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients. III, J. Amer. Math. Soc., 15 (2002), 419–442.
    • (2002) J. Amer. Math. Soc. , vol.15 , pp. 419-442
    • Tataru, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.