The nonlinear Schrödinger equation with an inverse-square potential

DOI10.1090/CONM/725/14560zbMath1423.35352OpenAlexW2921546381MaRDI QIDQ5236882

Jason Murphy

Publication date: 16 October 2019

Published in: Nonlinear Dispersive Waves and Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3cbd082868cf0002b69a7fd49672b21d60aac733

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Scattering theory for the subcritical wave equation with inverse square potential ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Semilinear Schrödinger equations with a potential of some critical inverse-square type

Cites Work

• Blowup and scattering problems for the nonlinear Schrödinger equations
• The energy-critical NLS with inverse-square potential
• Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
• Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
• Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
• Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
• Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
• The focusing cubic NLS with inverse-square potential in three space dimensions.
• Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
• A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
• Global Behavior of Finite Energy Solutions to the d-Dimensional Focusing Nonlinear Schrodinger Equation
• A new proof of scattering below the ground state for the 3d radial focusing cubic NLS

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