An invariant set in energy space for supercritical NLS in 1D
نویسندگان
چکیده
منابع مشابه
An Invariant Set in Energy Space for Supercritical Nls in 1d
We consider radial solutions of a mass supercritical monic NLS and we prove the existence of a set, which looks like a hypersurface, in the space of finite energy functions, invariant for the flow and formed by solutions which converge to ground states. §
متن کاملOn Asymptotic Stability in Energy Space of Ground States of Nls in 1d
We transpose work by T.Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for dimensions ≥ 3. §
متن کاملA Revision of ”on Asymptotic Stability in Energy Space of Ground States of Nls in 1d”
This is a revision of the author’s paper ”On asymptotic stability in energy space of ground states of NLS in 1D” [C3]. We correct an error in Lemma 5.4 [C3] and we simplify the smoothing argument. §
متن کاملdevelopment and implementation of an optimized control strategy for induction machine in an electric vehicle
in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...
15 صفحه اولEnergy-supercritical Nls: Critical Ḣ-bounds Imply Scattering
We consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions d ≥ 5. We prove that if the solution u is apriorily bounded in the critical Sobolev space, that is, u ∈ L∞t Ḣ sc x , then u is global and scatters.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.11.023