Results 21 to 27 of about 1,635 (27)
Global well-posedness on the derivative nonlinear Schr\"odinger equation revisited
, 2014 As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\in H^1(\mathbb{R ...
Wu, Yifei
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A note on Berestycki-Cazenave's classical instability result for nonlinear Schr\"odinger equations
, 2007 In this note we give an alternative, shorter proof of the classical result of Berestycki and Cazenave on the instability by blow-up for the standing waves of some nonlinear Schr\"odinger ...
Coz, Stefan Le
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On extremisers to a bilinear Strichartz inequality [PDF]
, 2015 In this note, we show that a pair of Gaussian functions are extremisers to a bilinear Strichartz inequality, and unique up to the symmetry group of the inequality.Comment: 6 pages. The constant in defining the inverse Fourier transform is corrected;the
Shao, Shuanglin
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, 2011 In a recent paper we proposed and compared various approaches to compute the ground state and dynamics of the Schr\"{o}dinger--Poisson--Slater (SPS) system for general external potential and initial condition, concluding that the methods based on sine ...
Dong, Xuanchun
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Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron +16 more
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Dispersive estimates and NLS on product manifolds
, 2010 We prove a general dispersive estimate for a Schroedinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates.
Pierfelice, Vittoria
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Ground-State Energy of a Dilute Fermi Gas
, 2005 Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials.
Lieb, Elliott H. +2 more
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