We consider the focusing inhomogeneous biharmonic nonlinear Schrödinger equation in H
2 (RN), iut+ Δ 2 u-| x|-b| u| α u= 0, when b> 0 and N≥ 5. We first obtain a small data global …

We consider the Cauchy problem for the inhomogeneous biharmonic nonlinear Schr\"{o}
dinger (IBNLS) equation\[iu_ {t}+\Delta^{2} u=\lambda| x|^{-b}| u|^{\sigma} u,\; u (0)= u_ {0}\in …

We revisit the finite time blow-up for the fourth-order Schrödinger equation with focusing
inhomogeneous nonlinearity−| x|− 2| u| 4 n u. By exploiting localized virial estimates and …

We consider a class of biharmonic nonlinear Schr\" odinger equations with a focusing
inhomogeneous power-type nonlinearity\[i\partial_t u-\Delta^ 2 u+\mu\Delta u+| x|^{-b} …

This paper studies the non-linear biharmonic Schödinger equation iu˙+ Δ 2 u±F (x,| u|) u= 0,
where F (x,| u|)∈{| x|-2 b| u| 2 (q-1),| x|-b| u| p-2 (I α∗|·|-b| u| p)}, where b> 0 and the source …

This work studies the inhomogeneous Schr\" odinger equation $$ i\partial_t u-\mathcal {K} _
{s,\lambda} u+ F (x, u)= 0,\quad u (t, x):\mathbb {R}\times\mathbb {R}^ N\to\mathbb {C} …

In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear
Schrödinger (IBNLS) equation iut C 2u D jxj bjuj u; u. 0/D u0 2 Hs. Rd/; where d 2 N, s 0, 0< …

In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear
Schr\"{o} dinger equation (IBNLS)\[iu_ {t}+\Delta^{2} u=\lambda| x|^{-b}| u|^{\sigma} u, u (0) …

This note studies the inhomogeneous fourth-order Schrödinger equation iu˙+ Δ 2 u=±| x| b|
u| p-1 u, b< 0, p> 1. Indeed, the local existence of solutions is established in some Sobolev …

We consider the following fractional NLS with focusing inhomogeneous power‐type
nonlinearity: i∂ tu−(− Δ) su+| x|− b| u| p− 1 u= 0,(t, x)∈ ℝ× ℝ N, i ∂ _tu-\left (-Δ\right) &amp;# …