Global Well-Posedness and Instability of an Inhomogeneous Nonlinear Schrödinger Equation

Mediterranean Journal of Mathematics ◽

10.1007/s00009-014-0403-4 ◽

2014 ◽

Vol 12 (2) ◽

pp. 387-417 ◽

Author(s):

T. Saanouni

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Local well-posedness for the inhomogeneous nonlinear Schrödinger equation in Hs(Rn)

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103268 ◽

2021 ◽

Vol 59 ◽

pp. 103268

Author(s):

JinMyong An ◽

JinMyong Kim

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation

Journal of Evolution Equations ◽

10.1007/s00028-015-0298-y ◽

2015 ◽

Vol 16 (1) ◽

pp. 193-208 ◽

Author(s):

Luiz G. Farah

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Energy Space ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.023 ◽

2021 ◽

Vol 280 ◽

pp. 179-202

Author(s):

Jungkwon Kim ◽

Yoonjung Lee ◽

Ihyeok Seo

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Case ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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On well posedness for the inhomogeneous nonlinear Schrödinger equation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2017.02.018 ◽

2017 ◽

Vol 37 ◽

pp. 249-286 ◽

Author(s):

Carlos M. Guzmán

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Local well-posedness for the inhomogeneous nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2021082 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Lassaad Aloui ◽

Slim Tayachi

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

Journal of the European Mathematical Society ◽

10.4171/jems/543 ◽

2015 ◽

Vol 17 (7) ◽

pp. 1687-1759 ◽

Author(s):

Andrea Nahmod ◽

Gigliola Staffilani

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Energy Space ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces $$M_{p, q}^s({\mathbb {R}}^d) \cap M_{\infty , 1}({\mathbb {R}}^d)$$

Trends in Mathematics - Mathematics of Wave Phenomena ◽

10.1007/978-3-030-47174-3_6 ◽

2020 ◽

pp. 89-107

Author(s):

Leonid Chaichenets ◽

Dirk Hundertmark ◽

Peer Christian Kunstmann ◽

Nikolaos Pattakos

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Modulation Spaces ◽

Well Posedness ◽

Nonlinear Schrödinger

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Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2013.33.1905 ◽

2013 ◽

Vol 33 (5) ◽

pp. 1905-1926 ◽

Author(s):

Benjamin Dodson ◽

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Nonlinear Decomposition ◽

Cubic Nonlinear Schrödinger Equation

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Global Well-Posedness of the Cubic Nonlinear Schrödinger Equation on Closed Manifolds

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.642449 ◽

2012 ◽

Vol 37 (7) ◽

pp. 1186-1236 ◽

Author(s):

Zaher Hani

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

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Energy scattering for a class of the defocusing inhomogeneous nonlinear Schrödinger equation

Journal of Evolution Equations ◽

10.1007/s00028-019-00481-0 ◽

2019 ◽

Vol 19 (2) ◽

pp. 411-434 ◽

Author(s):

Van Duong Dinh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Energy Scattering ◽

Inhomogeneous Nonlinear Schrödinger Equation

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