Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Stable manifolds for an orbitally unstable NLS
By this we mean that φ > 0 and φ ∈ C2(R3). It is a classical fact (see Coffman [Cof]) that such solutions exist and are unique for the cubic nonlinearity. Moreover, they are radial and smooth. Similar facts are known for more general nonlinearities, see e.g., Berestycki and Lions [BerLio] for existence and Kwon [Kwo] for uniqueness in greater generality. Clearly, ψ = eitα 2 φ solves (1). We see...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2009
ISSN: 0003-486X
DOI: 10.4007/annals.2009.169.139