On the decay properties of solutions to a class of Schrödinger equations
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- by L. Dawson, H. McGahagan and G. Ponce PDF
- Proc. Amer. Math. Soc. 136 (2008), 2081-2090 Request permission
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 $P_\pm$ 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
- MR Author ID: 204988
- Email: ponce@math.ucsb.edu
- Received by editor(s): March 6, 2007
- Published electronically: 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 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 2081-2090
- MSC (2000): Primary 35J10; Secondary 35B65
- DOI: https://doi.org/10.1090/S0002-9939-08-09355-6
- MathSciNet review: 2383514