The local well-posedness for nonlinear fourth-order Schrödinger equation with mass-critical nonlinearity and derivative
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-2770-2014-90.pdf
Reference12 articles.
1. Fibich G, Ilan B, Papanicolaou G: Self-focusing with fourth-order dispersion. SIAM J. Appl. Math. 2002, 62: 1437-1462. 10.1137/S0036139901387241
2. Colliander J, Keel M, Staffilani G, Takaoka H, Tao T: Global well-posedness for Schrödinger equations with derivative. SIAM J. Math. Anal. 2001, 33: 649-669. 10.1137/S0036141001384387
3. Colliander J, Keel M, Staffilani G, Takaoka H, Tao T: A refined global well-posedness result for Schrödinger equations with derivative. SIAM J. Math. Anal. 2002, 34: 64-86. 10.1137/S0036141001394541
4. Bourgain J: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations. Geom. Funct. Anal. 1993, 3: 107-156. 10.1007/BF01896020
5. Bourgain J: Refinements of Strichartz’ inequality and applications to 2D-NLS with critical nonlinearity. Int. Math. Res. Not. 1998, 5: 253-283.
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1. Well-posedness for the fourth-order Schrödinger equation with third order derivative nonlinearities;Nonlinear Differential Equations and Applications NoDEA;2021-06-15
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