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Strichartz Estimates for Schr(?)dinger Equations with Non-degenerate Coefficients

Strichartz Estimates for Schr(?)dinger Equations with Non-degenerate Coefficients
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摘要 In the present paper, the full range Strichartz estimates for homogeneous Schroedinger equations with non-degenerate and non-smooth coefficients are proved. For inhomogeneous equation, the non-endpoint Strichartz estimates are also obtained.
作者 Yu MIAO
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第5期555-570,共16页 数学年刊(B辑英文版)
基金 the Graduate Student Innovation Fund of Fudan University.
关键词 Schroedinger equation Strichartz estimates PARAMETRIX 拟基本解奇异函数 方程式 非退化系数 数学
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  • 1Burq, N., Gerard, P. and Tzvetkov, N., Strichartz inequalities and the nonlinear SchrSdinger equation on compact manifolds, Amer. J. Math., 126(3), 2004, 569-605.
  • 2Cazenave, T., Semilinear Schrodinger equations, Courant Lecture Notes in Mathematics, Vol. 10, A. M. S., Providence, RI, 2003.
  • 3Cazenave, T. and Weissler, F. B., The Cauchy problem for the critical nonlinear Schrodinger equation in H^s, Nonlin. Anal., 14(10), 1990, 807-836.
  • 4Chihara, H., Local existence for semilinear Schrodinger equations, Math. Japan, 42, 1995, 35-51.
  • 5Christ, M, and Kiselev, A., Maximal functions associated to filtrations, J. Func, Anal., 179(2), 2001, 409-425.
  • 6Craig, W., Kappeler, T. and Strauss, W., Microlocal dispersive smoothing for the Schrodinger equation, Comm. Pure Appl. Math., 48, 1995, 769-860.
  • 7Doi, S., On the Cauchy problem for Schrodinger type equations and the regularity of solutions, J. Math. Kyoto Univ., 34, 1994, 319-328.
  • 8Doi, S., Remarks on the Cauchy problem for Schrodinger-type equations, Comm. Partial Differential Equations, 21, 1996, 163-178.
  • 9Ginibre, J. and Velo, G., Generalized Strichartz inequalities for the wave equation, J. Funct. Anal., 133, 1995, 50-68.
  • 10Hassel, A., Tao, T. and Wunsch, J., Sharp Strichartz estimates on non trapping asymptotically conic manifolds, preprint.

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