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Erratum: Stabilization of solutions to nonlinear Schrödinger equations

✍ Scribed by Scipio Cuccagna

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
25 KB
Volume
58
Category
Article
ISSN
0010-3640

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✦ Synopsis

The proof of lemma 5.2 in [1] contains several mistakes. Nevertheless, the statement is correct and is proven in an elementary fashion, correctly this time, in [3, lemma 2.4], which is in this issue of the journal.

In the proof of corollary 3.2 in [1], we misquoted from Kato's textbook on perturbation theory. In fact, it is not true that, as asserted in [1], corollary 3.2 follows from lemma 3.1. However, corollary 3.2 of [1] is a consequence of proposition 3.1 in [2] or, under more general hypotheses that allow eigenvalues embedded in the continuous spectrum and for space dimension 3, proposition 4.1 in [3].

Bibliography

[1] Cuccagna, S. Stabilization of solutions to nonlinear Schrödinger equations.

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