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Volumn 2009, Issue , 2009, Pages

Semiclassical resolvent estimates in chaotic scattering

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EID: 72249109491     PISSN: 16871200     EISSN: 16871197     Source Type: Journal    
DOI: 10.1093/amrx/abp003     Document Type: Article
Times cited : (29)

References (30)
  • 1
    • 40949115555 scopus 로고    scopus 로고
    • Half-delocalization of eigenfunctions of the laplacian
    • Anantharaman,N., and S. Nonnenmacher. "Half-delocalization of eigenfunctions of the laplacian." Annales de l'Institut Fourier 57 (2007): 2465-2523.
    • (2007) Annales de l'Institut Fourier , vol.57 , pp. 2465-2523
    • Anantharaman, N.1    Nonnenmacher, S.2
  • 3
    • 0036678303 scopus 로고    scopus 로고
    • Lower bounds for shape resonances widths of long range Schr odinger operators
    • Burq, N. "Lower bounds for shape resonances widths of long range Schr odinger operators." American Journal of Mathematics 124 (2002): 677-735.
    • (2002) American Journal of Mathematics , vol.124 , pp. 677-735
    • Burq, N.1
  • 4
    • 3142714420 scopus 로고    scopus 로고
    • Smoothing effect for Schr odinger boundary value problems
    • Burq, N. "Smoothing effect for Schr odinger boundary value problems." Duke Mathematical Journal 123 (2004): 403-427
    • (2004) Duke Mathematical Journal , vol.123 , pp. 403-427
    • Burq, N.1
  • 6
    • 10244241907 scopus 로고    scopus 로고
    • High frequency resolvent estimates and energy decay of solutions to the wave equation
    • Cardoso, F., and G. Vodev. "High frequency resolvent estimates and energy decay of solutions to the wave equation." Canadian Mathematical Bulletin 47 (2004): 504-514 (Pubitemid 39620739)
    • (2004) Canadian Mathematical Bulletin , vol.47 , Issue.4 , pp. 504-514
    • Cardoso, F.1    Vodev, G.2
  • 7
    • 59449101954 scopus 로고    scopus 로고
    • Cutoff resolvent estimates and the semilinear Schrodinger equation
    • Christianson, H. "Cutoff resolvent estimates and the semilinear Schrodinger equation." Proceedings of the American Mathematical Society 136 (2008): 3513-3520
    • (2008) Proceedings of the American Mathematical Society , vol.136 , pp. 3513-3520
    • Christianson, H.1
  • 8
    • 69949152622 scopus 로고    scopus 로고
    • Applications of cutoff Resolvent estimates to the wave equation
    • Christianson, H. "Applications of cutoff Resolvent estimates to the wave equation." Mathematical Research Letters 16 (2009): 577-590
    • (2009) Mathematical Research Letters , vol.16 , pp. 577-590
    • Christianson, H.1
  • 9
    • 59449094977 scopus 로고    scopus 로고
    • Local smoothing for scattering manifolds with hyperbolic trapped sets
    • Datchev, K. "Local smoothing for scattering manifolds with hyperbolic trapped sets." Communications in Mathematical Physics 286 (2009): 837-850
    • (2009) Communications in Mathematical Physics , vol.286 , pp. 837-850
    • Datchev, K.1
  • 14
    • 0001489105 scopus 로고
    • Decay of solutions of the wave equation in the exterior of several convex bodies
    • Ikawa, M. "Decay of solutions of the wave equation in the exterior of several convex bodies." Annales de l'Institut Fourier 38 (1988): 113-146
    • (1988) Annales de l'Institut Fourier , vol.38 , pp. 113-146
    • Ikawa, M.1
  • 16
    • 19944416059 scopus 로고    scopus 로고
    • The Wick calculus of pseudodifferential operators and some of its applications
    • Lerner, N. "The Wick calculus of pseudodifferential operators and some of its applications." Cubo Matemá tica Educacional 5 (2003): 213-236
    • (2003) Cubo Matemá Tica Educacional , vol.5 , pp. 213-236
    • Lerner, N.1
  • 17
    • 0036025585 scopus 로고    scopus 로고
    • Resonance free domains for non globally analytic potentials
    • Martinez, A. "Resonance free domains for non globally analytic potentials." Annales Henri Poincaŕe 4 (2002): 739-756
    • (2002) Annales Henri Poincaŕe , vol.4 , pp. 739-756
    • Martinez, A.1
  • 18
    • 0346899470 scopus 로고    scopus 로고
    • Resonance expansions of propagators in the presence of potential barriers
    • Nakamura, S., P. Stefanov, and M. Zworski. "Resonance expansions of propagators in the presence of potential barriers." Journal of Functional Analysis 205 (2003): 180-205.
    • (2003) Journal of Functional Analysis , vol.205 , pp. 180-205
    • Nakamura, S.1    Stefanov, P.2    Zworski, M.3
  • 21
    • 28244438770 scopus 로고    scopus 로고
    • Fractal Weyl laws in discrete models of chaotic scattering
    • ibid
    • Nonnenmacher, S., and M. Zworski.ibid, Fractal Weyl laws in discrete models of chaotic scattering, Journal of Physics A, 38 (2005), 10683-10702.
    • (2005) Journal of Physics A , vol.38 , pp. 10683-10702
    • Nonnenmacher, S.1    Zworski, M.2
  • 22
    • 72249107608 scopus 로고    scopus 로고
    • Quantum decay rates in chaotic scattering
    • forthcoming
    • Nonnenmacher, S., and M. Zworski. "Quantum decay rates in chaotic scattering." Acta Mathematica (forthcoming).
    • Acta Mathematica
    • Nonnenmacher, S.1    Zworski, M.2
  • 28
    • 17344378454 scopus 로고    scopus 로고
    • Asymptotic distribution of resonances for convex obstacles
    • Sj ostrand, J., and M. Zworski. "Asymptotic distribution of resonances for convex obstacles." Acta Mathematica 183 (1999): 191-253.
    • (1999) Acta Mathematica , vol.183 , pp. 191-253
    • Sjostrand, J.1    Zworski, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.