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On the decay properties of solutions to a class of Schrödinger equations
Author(s):
L.
Dawson;
H.
McGahagan;
G.
Ponce
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2081-2090.
MSC (2000):
Primary 35J10;
Secondary 35B65
Posted:
February 14, 2008
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Abstract:
We construct a local in time, exponentially decaying solution of the one-dimensional variable coefficient Schrödinger equation by solving a nonstandard boundary value problem. A main ingredient in the proof is a new commutator estimate involving the projections  onto the positive and negative frequencies.
References:
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Additional Information:
L.
Dawson
Affiliation:
Department of Mathematics, University of Arizona, Tucson, Arizona 85721-0089
Email:
ldawson@math.arizona.edu
H.
McGahagan
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106
Email:
helena@math.ucsb.edu
G.
Ponce
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106
Email:
ponce@math.ucsb.edu
DOI:
10.1090/S0002-9939-08-09355-6
PII:
S 0002-9939(08)09355-6
Received by editor(s):
March 6, 2007
Posted:
February 14, 2008
Additional Notes:
The first author was supported by NSF grants
The second author was supported by an NSF postdoctoral fellowship
The third author was supported by NSF grants
Communicated by:
Matthew J. Gursky
Copyright of article:
Copyright
2008,
American Mathematical Society
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