paper

Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation

arXiv:2312.07002 · doi:10.4310/DPDE.260103063613

Abstract

We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial solutions with negative energy. Our result serves as a valuable complement to the existing literature and offers an improvement in our understanding of the subject matter.

To appear in Dynamics of Partial Differential Equations