Virial identities for nonlinear Schrödinger equations with a critical coefficient inverse-square potential

DOI10.7153/DEA-2017-09-24zbMath1378.35282OpenAlexW2763616205MaRDI QIDQ4592806

Toshiyuki Suzuki

Publication date: 8 November 2017

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

Full work available at URL: https://doi.org/10.7153/dea-2017-09-24

zbMATH Keywords

Mellin transformnonlinear Schrödinger equationsblow-up in finite timeHartree equationsscattering statesinverse square potentialsvirial identities

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

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 ⋮ Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential ⋮ Scattering theory for semilinear Schrödinger equations with an inverse-square potential via energy methods

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