TY - JOUR

T1 - Remarks on the Space-Time Behavior of Scattering Solutions to the Schrodinger Equations

AU - Ozawa, Tohru

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1987

Y1 - 1987

N2 - We consider the space-time behavior of scattering solutions to the Schrodinger equation [formula omitted] where H denotes a self-adjoint operator in the Hilbert space. We prove the fact that every scattering solution which has the [formula omitted] estimate for some vanishes identically. Furthermore, we show, every non-trivial scattering solution has the estimate [formula omitted].

AB - We consider the space-time behavior of scattering solutions to the Schrodinger equation [formula omitted] where H denotes a self-adjoint operator in the Hilbert space. We prove the fact that every scattering solution which has the [formula omitted] estimate for some vanishes identically. Furthermore, we show, every non-trivial scattering solution has the estimate [formula omitted].

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U2 - 10.2977/prims/1195176441

DO - 10.2977/prims/1195176441

M3 - Article

AN - SCOPUS:85007996154

VL - 23

SP - 479

EP - 486

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 3

ER -