TY - JOUR
T1 - Remarks on the Space-Time Behavior of Scattering Solutions to the Schrodinger Equations
AU - Ozawa, Tohru
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].
UR - http://www.scopus.com/inward/record.url?scp=85007996154&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85007996154&partnerID=8YFLogxK
U2 - 10.2977/prims/1195176441
DO - 10.2977/prims/1195176441
M3 - Article
AN - SCOPUS:85007996154
SN - 0034-5318
VL - 23
SP - 479
EP - 486
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 3
ER -