On global existence of L2 solutions for 1D periodic NLS with quadratic nonlinearity-Reference-Cited by-同舟云学术

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On global existence of L2 solutions for 1D periodic NLS with quadratic nonlinearity

Published:2021-09-01 Issue:9 Volume:62 Page:091504
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Fujiwara Kazumasa¹^ORCID,Georgiev Vladimir²³⁴^ORCID

Affiliation:

1. Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya 464-8602, Japan

2. Dipartimento di Matematica Università di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy

3. Faculty of Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

4. IMI–BAS, Academy, Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria

Funder

Japan Society for the Promotion of Science

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Bulgarian Academy of Sciences

Top Global University Project, Waseda University

Università di Pisa

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0033101

Reference14 articles.

1. The Cauchy problem for nonlinear quadratic interactions of the Schrödinger type in one dimensional space

2. Exponential sums and nonlinear Schrödinger equations

3. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

4. On the LambertW function

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1. Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity $$\overline{u}^2$$ in Negative Sobolev Spaces;Journal of Dynamics and Differential Equations;2023-08-07

2. Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity;Journal of Evolution Equations;2022-12-30

3. Global dynamics in nonconservative nonlinear Schrödinger equations;Advances in Mathematics;2022-03

4. Quasiperiodicity and Blowup in Integrable Subsystems of Nonconservative Nonlinear Schrödinger Equations;Journal of Dynamics and Differential Equations;2022-01-16

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