On extremizers for Strichartz estimates for higher order Schrödinger equations

Diogo Oliveira e Silva; René Quilodrán

doi:10.1090/tran/7223

On extremizers for Strichartz estimates for higher order Schrödinger equations

Transactions of the American Mathematical Society ◽

10.1090/tran/7223 ◽

2018 ◽

Vol 370 (10) ◽

pp. 6871-6907 ◽

Cited By ~ 1

Author(s):

Diogo Oliveira e Silva ◽

René Quilodrán

Keyword(s):

Higher Order ◽

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations

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The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109021 ◽

2021 ◽

pp. 109021

Author(s):

Zdzisław Brzeźniak ◽

Wei Liu ◽

Jiahui Zhu

Keyword(s):

Nonlinear Schrödinger Equations ◽

Strichartz Estimates ◽

Lévy Noise ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Levy Noise

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Unique continuation through hyperplane for higher order parabolic and Schrödinger equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2021.1881110 ◽

2021 ◽

pp. 1-75

Author(s):

Tianxiao Huang

Keyword(s):

Unique Continuation ◽

Higher Order ◽

Schrodinger Equations ◽

Schrödinger Equations

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Nondegenerate solitons for coupled higher-order nonlinear Schrödinger equations in optical fibers

Physica Scripta ◽

10.1088/1402-4896/ac0869 ◽

2021 ◽

Author(s):

YueJin Cai ◽

Jian wen Wu ◽

LangTao Hu ◽

Ji Lin

Keyword(s):

Optical Fibers ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.07.006 ◽

2018 ◽

Vol 275 (8) ◽

pp. 1943-2014

Author(s):

Van Duong Dinh

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Fractional Schrödinger Equations

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Modulation instability in higher-order nonlinear Schrödinger equations

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5053941 ◽

2018 ◽

Vol 28 (12) ◽

pp. 123116 ◽

Cited By ~ 5

Author(s):

Amdad Chowdury ◽

Adrian Ankiewicz ◽

Nail Akhmediev ◽

Wonkeun Chang

Keyword(s):

Modulation Instability ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Dark solitons in N-coupled higher order nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2006.07.014 ◽

2008 ◽

Vol 13 (7) ◽

pp. 1318-1328 ◽

Cited By ~ 12

Author(s):

P. Seenuvasakumaran ◽

A. Mahalingam ◽

K. Porsezian

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Nonlinear Schrodinger Equations

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Strichartz estimates for non‐degenerate Schrödinger equations

Mathematische Nachrichten ◽

10.1002/mana.201800148 ◽

2020 ◽

Vol 293 (4) ◽

pp. 774-793

Author(s):

Kouichi Taira

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations

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Outgoing parametrices and global Strichartz estimates for Schrödinger equations with variable coefficients

Phase Space Analysis of Partial Differential Equations - Progress in Nonlinear Differential Equations and Their Applications ◽

10.1007/978-0-8176-4521-2_16 ◽

2006 ◽

pp. 291-313 ◽

Cited By ~ 2

Author(s):

Daniel Tataru

Keyword(s):

Variable Coefficients ◽

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations

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Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.11.089 ◽

2014 ◽

Vol 228 ◽

pp. 271-291 ◽

Cited By ~ 6

Author(s):

Harish P. Bhatt ◽

Abdul Q.M. Khaliq

Keyword(s):

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Exponential Time ◽

Exponential Time Differencing ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Strichartz estimates for Schrödinger equations with slowly decaying potentials

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108789 ◽

2020 ◽

Vol 279 (12) ◽

pp. 108789

Author(s):

Haruya Mizutani

Keyword(s):

Strichartz Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations

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