Blow-up results for inhomogeneous fourth-order nonlinear Schrödinger equation
Abstract
Abstract In this paper, we investigate the blow-up phenomenon of the $$H^2$$ H 2 norm of solutions to the inhomogeneous biharmonic Schrodinger equation in two distinct scenarios. First, we consider the case of negative energy, analyzing separately the cases of radial and non-radial solutions. Then, we examine the positive energy case, where the energy is below that of the ground state and the “kinetic” energy exceeds the corresponding value for the ground state, again distinguishing between radial and non-radial solutions. Our approach is based on convexity methods, employing virial identities in the analysis.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Nonlinear Photonic Systems
Publication details
- Journal / source
- Zeitschrift für angewandte Mathematik und Physik
- Publisher
- Springer Science and Business Media LLC
- Volume
- 77
- Issue
- 6
- Publication date
- 26 May 2026
- Language
- EN