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

Luiz G. Farah

doi:10.1007/s00028-015-0298-y

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 ◽

Cited By ~ 18

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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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 ◽

Cited By ~ 12

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 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 existence and blow up of solutions for the inhomogeneous nonlinear Schrödinger equation in R2

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.05.057 ◽

2008 ◽

Vol 338 (2) ◽

pp. 1008-1019 ◽

Cited By ~ 4

Author(s):

Yanjin Wang

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Blow-up criteria for the inhomogeneous nonlinear Schrödinger equation

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-55 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 3

Author(s):

Han Yang ◽

Shihui Zhu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

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 ◽

Cited By ~ 11

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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Blow-up solutions and strong instability of ground states for the inhomogeneous nonlinear Schrödinger equation

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020259 ◽

2021 ◽

Vol 20 (1) ◽

pp. 101-119

Author(s):

Alex H. Ardila ◽

◽

Mykael Cardoso ◽

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Ground States ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Strong Instability ◽

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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Blow-up dynamics ofL2−critical inhomogeneous nonlinear Schrödinger equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5300 ◽

2018 ◽

Vol 41 (18) ◽

pp. 9408-9421 ◽

Cited By ~ 1

Author(s):

Congming Peng ◽

Dun Zhao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Inhomogeneous Nonlinear Schrödinger Equation

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Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space

Analysis & PDE ◽

10.2140/apde.2013.6.1989 ◽

2013 ◽

Vol 6 (8) ◽

pp. 1989-2002 ◽

Cited By ~ 20

Author(s):

Yi Wu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Energy Space ◽

Well Posedness ◽

Nonlinear Schrödinger

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