INHOMOGENEOUS DIRICHLET-BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATIONS
Author:
Affiliation:
1. Department of Mathematics Graduate School of Science Osaka University
2. Research Alliance Center for Mathematical Sciences Tohoku University
3. Centro de Ciencias Matemáticas UNAM Campus Morelia, AP 61-3 (Xangari)
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/74/2/74_375/_pdf
Reference25 articles.
1. [1] C. Audiard. On the non-homogeneous boundary value problem for Schrödinger equations. Discrete Contin. Dyn. Syst. 33 (2013), 3861-3884.
2. [2] C. Audiard. On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence. Anal. PDE 8 (2015), 1113-1143.
3. [3] J. L. Bona, S.-M. Sun and B.-Y. Zhang. Nonhomogeneous boundary-value problems for one dimensional nonlinear Schrödinger equations. J. Math. Pures Appl. (9) 109 (2018), 1-66.
4. [4] A. Fokas, A. Himonas and D. Mantzavinos. The nonlinear Schrödinger equation on the half-line. Trans. Amer. Math. Soc. 369(1) (2017), 681-709.
5. [5] A. S. Fokas and J. Lenells. An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Inverse Problems 25(11) (2009), 115006.
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1. The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane;Nonlinear Differential Equations and Applications NoDEA;2024-05-04
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