Concepedia

Energy critical fourth-order Schrödinger equations with subcritical perturbations

Junyong Zhang, Jiqiang Zheng

Nonlinear Analysis · 2010 · 17 citations · 18 references

DOI

Concepts

References

18

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

Thierry Cazenave, Fred B. Weissler · Nonlinear Analysis · 1990 · 803 citations

, , +13

Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>

J. Colliander, M. Keel, Gigliola Staffilani et al. · Annals of Mathematics · 2008 · 505 citations · Full text

, , +11

Stabilization of soliton instabilities by higher-order dispersion: Fourth-order nonlinear Schrödinger-type equations

V. I. Karpman · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 301 citations

, , +16

The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

Terence Tao, Monica Vişan, Xiaoyi Zhang · Communications in Partial Differential Equations · 2007 · 289 citations

, , +10

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4

E. Ryckman, Monica Vişan · American Journal of Mathematics · 2007 · 285 citations · Full text

, , +8