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Decay and regularity for the schrödinger equation

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Abstract

Consider the Schrödinger equation {fx25-1}.

The following estimates are proved: (A) IfV≡0 then for any 0≤α<1/2, {fx25-2}, and for α=1/2,s>1/2, {fx25-3} (B) If |V(x)|≤C(1+|x|2)−1−δ, δ>0, then (if 0 is neither an eigenvalue nor a resonance of −Δ+V), {fx25-4}.

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References

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Matania Ben-artzi

  2. Department of Mathematics, Princeton University, 08540, Princeton, NJ, USA

    Sergiu Klainerman

Authors
  1. Matania Ben-artzi
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  2. Sergiu Klainerman
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Ben-artzi, M., Klainerman, S. Decay and regularity for the schrödinger equation. J. Anal. Math. 58, 25–37 (1992). https://doi.org/10.1007/BF02790356

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  • DOI: https://doi.org/10.1007/BF02790356

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