Existence of Blow-up Solutions to Nonlinear Schrödinger Equations with Anisotropic Fourth-Order Dispersion
Author:
Affiliation:
1. Chukyo University
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/65/2/65_191/_pdf
Reference21 articles.
1. [1] Aceves, A. B., de Angelis, C., Rubenchik, A. M. and Turitsyn, S. K., Multidimensional solitons in fiber arrays, Opt. Lett., 19 (1995), 329-331.
2. [2] Bonheure, D., Castéras, J-B., Gou, T. and Jeanjean, L., Strong instability of ground states to a fourth order Schrödinger equation, Int. Math. Res. Not. IMRN, 2019, 5299-5315.
3. [3] Bouchel, O., Remarks on NLS with higher order anisotropic dispersion, Adv. Differential Equations, 13 (2008), 169-198.
4. [4] Boulenger, T. and Lenzmann, E., Blowup for biharmonic NLS, Ann. Sci. Éc. Norm. Supér. (4), 50 (2017), 503-544.
5. [5] Brézis, H. and Lieb, E., A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc., 88 (1983), 486-490.
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