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Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations
VD Dinh, S Keraani - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We study long time dynamics of nonradial solutions to the focusing inhomogeneous
nonlinear Schrödinger equation. By using the concentration/compactness and rigidity …
nonlinear Schrödinger equation. By using the concentration/compactness and rigidity …
Scattering for the non-radial energy-critical inhomogeneous NLS
Scattering for the non-radial energy-critical inhomogeneous NLS - ScienceDirect Skip to main
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A simple proof of scattering for the intercritical inhomogeneous NLS
J Murphy - Proceedings of the American Mathematical Society, 2022 - ams.org
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 …
4867] to give a simple proof of scattering below the ground state for the intercritical …
A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS
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> …
{R}^ N) $,\begin {equation} iu_t+\Delta u+| x|^{-b}| u|^{p-1} u= 0,\end {equation} when $ b> …
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS
We consider the focusing inhomogeneous nonlinear Schrödinger equation i∂ t u+ Δ u+| x|−
b| u| α u= 0 on R× RN, with N≥ 2, 0< b< min {N 2, 2}, and 4− 2 b N< α< 4− 2 b N− 2. These …
b| u| α u= 0 on R× RN, with N≥ 2, 0< b< min {N 2, 2}, and 4− 2 b N< α< 4− 2 b N− 2. These …
On decaying properties of nonlinear Schrödinger equations
In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D
cubic defocusing nonlinear Schrödinger equation with various (deterministic and random) …
cubic defocusing nonlinear Schrödinger equation with various (deterministic and random) …
Sobolev-Lorentz spaces with an application to the inhomogeneous biharmonic NLS equation
JM An, PJ Ryu, JM Kim - arxiv preprint arxiv:2208.08657, 2022 - arxiv.org
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 …
dinger (IBNLS) equation\[iu_ {t}+\Delta^{2} u=\lambda| x|^{-b}| u|^{\sigma} u,\; u (0)= u_ {0}\in …
Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity
We investigate the Cauchy problem for the focusing inhomogeneous nonlinear Schrödinger
equation i∂ t u+ Δu=−| x| b| u| p− 1 u in the radial Sobolev space H r 1 (RN), where b> 0 …
equation i∂ t u+ Δu=−| x| b| u| p− 1 u in the radial Sobolev space H r 1 (RN), where b> 0 …
On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation
We consider the focusing inhomogeneous nonlinear Schrödinger (INLS) equation in R^ N
RN i ∂ _t u+ Δ u+| x|^-b| u|^ 2 σ u= 0, i∂ tu+ Δ u+| x|-b| u| 2 σ u= 0, where N ≥ 2 N≥ 2 and …
RN i ∂ _t u+ Δ u+| x|^-b| u|^ 2 σ u= 0, i∂ tu+ Δ u+| x|-b| u| 2 σ u= 0, where N ≥ 2 N≥ 2 and …
Dynamics of the Non-radial Energy-critical Inhomogeneous NLS
CM Guzmán, C Xu - Potential Analysis, 2024 - Springer
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 …
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 …