On decay of solutions to nonlinear Schrödinger equations
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- by Alexander Pankov
- Proc. Amer. Math. Soc. 136 (2008), 2565-2570
- DOI: https://doi.org/10.1090/S0002-9939-08-09484-7
- Published electronically: March 14, 2008
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Abstract:
We present general results on exponential decay of finite energy solutions to stationary nonlinear Schrödinger equations. Under certain natural assumptions we show that any such solution is continuous and vanishes at infinity. This allows us to interpret the solution as a finite multiplicity eigenfunction of a certain linear Schrödinger operator and, hence, apply well-known results on the decay of eigenfunctions.References
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Bibliographic Information
- Alexander Pankov
- Affiliation: Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187–8795
- Address at time of publication: Department of Mathematics, Morgan State University, Baltimore, Maryland 21251
- MR Author ID: 196982
- Email: pankov@member.ams.org
- Received by editor(s): September 18, 2006
- Received by editor(s) in revised form: June 29, 2007
- Published electronically: March 14, 2008
- Communicated by: Michael Weinstein
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2565-2570
- MSC (2000): Primary 35J60, 35B40
- DOI: https://doi.org/10.1090/S0002-9939-08-09484-7
- MathSciNet review: 2390527