Global solutions for bi-harmonic inhomogeneous non-linear Schrödinger equations in Lebesgue spaces
Abstract This paper studies the inhomogeneous bi-harmonic nonlinear Schrödinger equation i u ˙ + Δ 2 u ± | x | − τ | u | p − 1 u = 0 , $$ \mbox{i}\dot{u} +\Delta ^{2} u\pm |x|^{-\tau}|u|^{p-1}u=0, $$ where u : = u ( t , x ) : R × R N → C $u:=u(t,x):\mathbb{R}\times \mathbb{R}^{N}\to \mathbb{C}$ , τ...
| Published in: | Journal of Inequalities and Applications |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-10-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03212-3 |