Blowup of nonlinear Schrödinger equations with inverse-square potentials

DOI10.7153/DEA-06-17zbMath1308.35287OpenAlexW2978268285MaRDI QIDQ5498668

Toshiyuki Suzuki

Publication date: 10 February 2015

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-06-17.pdf

zbMATH Keywords

blowupnonlinear Schrödinger equationsHartree equationsinverse-square potentialsvirial identity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (5)

Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field ⋮ Global existence and blowup for Choquard equations with an inverse-square potential ⋮ Semilinear Schrödinger equations with a potential of some critical inverse-square type ⋮ Semilinear Schrödinger evolution equations with inverse-square and harmonic potentials via pseudo-conformal symmetry ⋮ Scattering theory for semilinear Schrödinger equations with an inverse-square potential via energy methods

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