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On decay of solutions to nonlinear Schrödinger equations
Author(s):
Alexander
Pankov
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2565-2570.
MSC (2000):
Primary 35J60, 35B40
Posted:
March 14, 2008
MathSciNet review:
2390527
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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.
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Additional 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
Email:
pankov@member.ams.org
DOI:
10.1090/S0002-9939-08-09484-7
PII:
S 0002-9939(08)09484-7
Keywords:
Nonlinear Schr\"odinger equation,
exponential decay
Received by editor(s):
September 18, 2006,
Received by editor(s) in revised form:
June 29, 2007
Posted:
March 14, 2008
Communicated by:
Michael Weinstein
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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