We study long time dynamics of nonradial solutions to the focusing inhomogeneous
nonlinear Schrödinger equation. By using the concentration/compactness and rigidity …

We adapt the argument of Dodson and Murphy [Proc. Amer. Math. Soc. 145 (2017), pp. 4859–
4867] to give a simple proof of scattering below the ground state for the intercritical …

Consider the focusing inhomogeneous nonlinear Schrödinger equation in $ H^ 1 (\mathbb
{R}^ N) $,\begin {equation} iu_t+\Delta u+| x|^{-b}| u|^{p-1} u= 0,\end {equation} when $ b> …

Scattering for the non-radial energy-critical inhomogeneous NLS - ScienceDirect Skip to main
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In this work, we consider the following focusing inhomogeneous nonlinear Schrödinger
equation i∂ t u+ Δ u+| x|− b| u| pu= 0,(t, x)∈ R× RN with 0< b< min {2, N} and 4− 2 b N< p< …

We study the Cauchy problem for the semilinear heat equation with the singular potential,
called the Hardy–Sobolev parabolic equation, in the energy space. The aim of this paper is …

We consider the focusing inhomogeneous nonlinear Schrödinger equation i∂ tu+ Δ u+| x|-b|
u| α u= 0 on R× RN, with α= 4-2 b N-2, N={3, 4, 5} and 0< b≤ min {6-N 2, 4 N}. This paper …

On the nonlinear Schr\"odinger equation with critical source term: global well-posedness,
scattering and finite time blowup Page 1 https://www.aimspress.com/journal/Math AIMS …

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;# …

We establish a compactness property of the difference between nonlinear and linear
operators (or the Duhamel operator) related to the inhomogeneous nonlinear Schrödinger …