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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 8: PDE's, Semigroup Theory, Inverse and Control Problems
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Original Articles

Cauchy problem for nonlinear Schrödinger equations with inverse-square potentials

Noboru Okazawa Department of Mathematics, Tokyo University of Science, 1–3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, JapanCorrespondence[email protected]
,
Toshiyuki Suzuki Department of Mathematics, Tokyo University of Science, 1–3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
&
Tomomi Yokota Department of Mathematics, Tokyo University of Science, 1–3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
Pages 1605-1629 | Received 30 Apr 2011, Accepted 10 Oct 2011, Published online: 21 Dec 2011

Citations (13)

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Read on this site (1)

Toshiyuki Suzuki. (2017) Scattering theory for Hartree equations with inverse-square potentials. Applicable Analysis 96:12, pages 2032-2043.
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Articles from other publishers (12)

Toshiyuki Suzuki. (2023) Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field. Journal of Differential Equations 371, pages 151-190.
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Saikatul Haque. (2021) Strichartz estimates for Schrödinger equation with singular and time dependent potentials and application to NLS equations. Nonlinear Differential Equations and Applications NoDEA 29:1.
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Debangana Mukherjee, Phan Thành Nam & Phuoc-Tai Nguyen. (2021) Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential. Journal of Functional Analysis 281:5, pages 109092.
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Toshiyuki Suzuki. (2021) Semilinear Schrödinger evolution equations with inverse-square and harmonic potentials via pseudo-conformal symmetry. Communications on Pure & Applied Analysis 20:12, pages 4347.
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Toshiyuki Suzuki. (2020) Semilinear Schrödinger equations with a potential of some critical inverse-square type. Journal of Differential Equations 268:12, pages 7629-7668.
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Bo-wen Zheng. (2019) On the well-posedness for the nonlinear radial Schrödinger equation with spatial variable coefficients. Nonlinear Analysis 182, pages 1-19.
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Van Duong Dinh. (2018) Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential. Journal of Mathematical Analysis and Applications 468:1, pages 270-303.
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Toshitaka Matsumoto & Naoki Tanaka. (2016) Abstract Cauchy problem for weakly continuous operators. Journal of Mathematical Analysis and Applications 435:1, pages 267-285.
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Toshiyuki Suzuki. (2016) Solvability of Nonlinear Schrödinger Equations with Some Critical Singular Potential via Generalized Hardy-Rellich Inequalities. Funkcialaj Ekvacioj 59:1, pages 1-34.
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Toshiyuki Suzuki. (2015) Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space. Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space.
Alessandro Michelangeli. (2015) Global well-posedness of the magnetic Hartree equation with non-Strichartz external fields. Nonlinearity 28:8, pages 2743-2765.
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Toshiyuki Suzuki. (2013) Energy methods for Hartree type equations with inverse-square potentials. Evolution Equations and Control Theory 2:3, pages 531-542.
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