The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane

Author:

Ogawa Takayoshi,Sato Takuya,Tsuhara Shun

Funder

JSPS Grant-in-aid for Scientific Research

JSPS Grant-in-aid for Challenging Research

JSPS Grant-in-aid for Early-Career Scientists

JST, the establishment of university fellowships towards the creation of science technology innovation

Publisher

Springer Science and Business Media LLC

Reference29 articles.

1. Ackleh, A.S., Deng, K.: On the critical exponent for the Schrödinger equation with a nonlinear boundary condition. Differential Integral Equations 17(11–12), 1293–1307 (2004)

2. Audiard, C.: Global Strichartz estimates for the Schrödinger equation with non zero boundary condition and applications Ann. Inst. Fourier, Grenoble 69, 31–80 (2019)

3. Batal, A., Özsari, T.: Nolinear Schrödinger equations on the half-line with nonlinear boundary conditions. Electric. J. Differential Equations 2016, 1–20 (2016)

4. Bona, J.L., Sun, S.-M., Zhang, B.-Y.: Nonhomogeneous boundary-value problems for one-diensional nonlinear Schrödinger equations, J. Math. Pure Appl. 109, 1-66 (2018)

5. Cazenave, T., Weissler, F.: The Cauchy problem for the nonlinear Schrödinger equation in $$H^1$$. manuscripta math. 61, 477-494 (1988)

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