On Strichartz Estimates from ℓ 2-Decoupling and Applications

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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Strichartz estimates and local existence for the gravity–capillary waves with non-Lipschitz initial velocity

Journal of Differential Equations ◽

10.1016/j.jde.2016.03.011 ◽

2016 ◽

Vol 261 (1) ◽

pp. 396-438 ◽

Cited By ~ 6

Author(s):

Thibault de Poyferré ◽

Quang-Huy Nguyen

Keyword(s):

Initial Velocity ◽

Local Existence ◽

Capillary Waves ◽

Strichartz Estimates

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Strichartz Estimates and Fourier Restriction Theorems on the Heisenberg Group

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-021-09822-5 ◽

2021 ◽

Vol 27 (2) ◽

Author(s):

Hajer Bahouri ◽

Davide Barilari ◽

Isabelle Gallagher

Keyword(s):

Heisenberg Group ◽

Strichartz Estimates ◽

Fourier Restriction ◽

Restriction Theorems

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On global Strichartz estimates for non-trapping metrics

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.11.018 ◽

2008 ◽

Vol 254 (6) ◽

pp. 1661-1682 ◽

Cited By ~ 21

Author(s):

Jean-Marc Bouclet ◽

Nikolay Tzvetkov

Keyword(s):

Strichartz Estimates

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On local‐in‐time Strichartz estimates for the Schrödinger equation with singular potentials

Mathematische Nachrichten ◽

10.1002/mana.201900475 ◽

2021 ◽

Author(s):

Seongyeon Kim ◽

Ihyeok Seo ◽

Jihyeon Seok

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Strichartz Estimates ◽

Singular Potentials

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COUNTEREXAMPLES TO STRICHARTZ ESTIMATES FOR THE MAGNETIC SCHRÖDINGER EQUATION

Communications in Contemporary Mathematics ◽

10.1142/s0219199711004245 ◽

2011 ◽

Vol 13 (02) ◽

pp. 213-234 ◽

Cited By ~ 11

Author(s):

LUCA FANELLI ◽

ANDONI GARCIA

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Space Dimension ◽

Strichartz Estimates

In space dimension n ≥ 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x))2and the corresponding Schrödinger equation [Formula: see text] We show some explicit examples of potentials A, with less than Coulomb decay, for which any solution of this equation cannot satisfy Strichartz estimates, in the whole range of Schrödinger admissibility.

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