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An application of Lp estimates to scattering theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 992)

Keywords

  • State Vector
  • Physical Interpretation
  • Nonlinear Evolution Equation
  • auxilIary Space
  • Picard Iteration

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References

  1. C. Fefferman and E. M. Stein, "Hp Spaces of several variables," Acta Math., Vol. 129 (1972), pp. 137–193.

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  2. R. Glassey and M. Tsutsumi "On uniqueness of weak solutions to some non-linear wave equations," J. Diff. Eqns. 46 (1982) pp. 409–425.

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  3. S. Kleinerman and G. Ponce, "Global, small amplitude solutions to nonlinear evolution equations," Comm. on Pure and Appl. Math., Vol. 36 (1983) pp.133–141.

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  4. B. Marshall, W. Strauss, and S. Wainger, "Lp-Lq estimates for the Klein-Gordon equation", J. Math. Pures et Appl., Vol. 59 (1980) pp. 417–440.

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  5. J. Shatah, "Global existence of small solutions to nonlinear evolution equations," J. Diff. Eqns., Vol. 46 (1982), pp. 409–425.

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  6. W. Strauss, "Non linear scattering theory at low energy," Journal of functional analysis, Vol. 41 (1981), pp. 110–133.

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  7. R. Strichartz, "Restrictions of Fourier transforms to quadratic surfaces," Duke Math. J., Vol. 44 (1977) pp. 705–714.

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  8. P. Tomas, "Restriction theorems for the Fourier transform," Proc. of Symp. in Pure Math., Vol. 35, Part 1 (1979), pp. 111–119.

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© 1983 Springer-Verlag

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Strauss, W., Wainger, S. (1983). An application of Lp estimates to scattering theory. In: Mauceri, G., Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069153

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  • DOI: https://doi.org/10.1007/BFb0069153

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12299-9

  • Online ISBN: 978-3-540-39885-1

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