NDLI: More self-similar solutions of the nonlinear Schrödinger equation

Content Provider	Springer Nature Link
Author	Cazenave, Thierry Weissler, Fred. B.
Copyright Year	1998
Abstract	We prove the existence of self-similar solutions of the Schrödinger equation in $ {\Bbb R}^N $ with the power nonlinearity $ \gamma\|u\|^\alpha u $ . Existence is obtained for a range of $ \alpha $ which differs from, but overlaps with, the range of powers considered in [4]. We also obtain regularity results for the self-similar solutions constructed in [4].
Starting Page	355
Ending Page	365
Page Count	11
File Format	PDF
ISSN	10219722
Journal	Nonlinear Differential Equations and Applications NoDEA
Volume Number	5
Issue Number	3
e-ISSN	14209004
Language	English
Publisher	Birkhäuser Verlag
Publisher Date	1998-08-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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More self-similar solutions of the nonlinear Schrödinger equation