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We consider a class of L2‐supercritical inhomogeneous nonlinear Schrödinger equations with potential in three dimensions. In the focusing case, using a recent method of Dodson and Murphy, we first study… Click to show full abstract
We consider a class of L2‐supercritical inhomogeneous nonlinear Schrödinger equations with potential in three dimensions. In the focusing case, using a recent method of Dodson and Murphy, we first study the energy scattering below the ground state for the equation with radially symmetric initial data. We then establish blow‐up criteria for non‐radial solutions to the equation. In the defocusing case, we also prove the energy scattering for the equation with radially symmetric initial data.
Keywords:
class;
equations potential;
nonlinear schr;
inhomogeneous nonlinear;
dinger equations;
schr dinger
Journal Title: Mathematische Nachrichten
Year Published: 2021
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Journal Title: Mathematische Nachrichten
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!