Zobrazeno 1 - 10
of 251
pro vyhledávání: '"Saanouni Tarek"'
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 93-105 (2024)
This work investigates the asymptotic behavior of energy solutions to the focusing nonlinear Schrödinger equation of Choquard type i∂tu+Δu+∣u∣p−2(Iα*∣u∣p)u=0,p=1+2+αN−2,N≥3.i{\partial }_{t}u+\Delta u+{| u| }^{p-2}\left({I}_{\alpha
Externí odkaz:
https://doaj.org/article/68c8f09b4e544fdfb72f6047d9da2651
We investigate the following inhomogeneous nonlinear Schr\"odinger equation with focusing energy critical nonlinearity and a defocusing perturbation in the radial regime, $$ i \partial_t u +\Delta u =|x|^{-a} |u|^{p-2} u - |x|^{-b} |u|^{4-2b}u \quad
Externí odkaz:
http://arxiv.org/abs/2408.14161
Autor:
Saanouni Tarek
Publikováno v:
Advances in Nonlinear Analysis, Vol 7, Iss 1, Pp 67-84 (2018)
In even space dimensions, the initial value problems for some high-order focusing semilinear evolution equations with exponential nonlinearities are considered. Using the potential well method, global and nonglobal well-posedness in the energy space
Externí odkaz:
https://doaj.org/article/7a74d627353144ca9fd72511d2b789f9
We investigate the blow-up for fourth-order Schr\"odinger equation with a mas-critical focusing inhomogeneous nonliniearity. We prove the finite/infinite time blow-up of non-radial solutions with negative energy. Our result serves as a valuable compl
Externí odkaz:
http://arxiv.org/abs/2312.07002
We investigate a class of nonlinear Schr\"odinger equations with competing inhomogeneous nonlinearities in the non-radial inter-critical regime, $$ i \partial_t u +\Delta u =|x|^{-b_1} |u|^{p_1-2} u - |x|^{-b_2} |u|^{p_2-2}u \quad \mbox{in} \,\, \mat
Externí odkaz:
http://arxiv.org/abs/2311.12693
Autor:
Bai, Ruobing, Saanouni, Tarek
This work studies the inhomogeneous Schr\"odinger equation $$ i\partial_t u-\mathcal{K}_{s,\lambda}u +F(x,u)=0 , \quad u(t,x):\mathbb{R}\times\mathbb{R}^N\to\mathbb{C}. $$ Here, $s\in\{1,2\}$, $N>2s$ and $\lambda>-\frac{(N-2)^2}{4}$. The linear Schr\
Externí odkaz:
http://arxiv.org/abs/2306.15210
Autor:
Kim, Seongyeon, Saanouni, Tarek
This work studies the Cauchy problem for the energy-critical inhomogeneous Hartree equation with inverse square potential $$i\partial_t u-\mathcal K_\lambda u=\pm |x|^{-\tau}|u|^{p-2}(I_\alpha *|\cdot|^{-\tau}|u|^p)u, \quad \mathcal K_\lambda=-\Delta
Externí odkaz:
http://arxiv.org/abs/2305.00746
Autor:
Saanouni Tarek
Publikováno v:
Advances in Nonlinear Analysis, Vol 3, Iss 4, Pp 247-269 (2014)
We investigate the initial value problem for some coupled nonlinear Schrödinger equations in two space dimensions with exponential growth. We prove global well-posedness and scattering in the defocusing case. In the focusing sign, existence of non-g
Externí odkaz:
https://doaj.org/article/a8c99d29bf67407db004c6e1b32afd46
Autor:
Majdoub, Mohamed, Saanouni, Tarek
We consider the magnetic nonlinear inhomogeneous Schr\"odinger equation $$i\partial_t u -\left(-i\nabla+\frac{\alpha}{|x|^2}(-x_2,x_1)\right)^2 u =\pm|x|^{-\varrho}|u|^{p-1}u,\quad (t,x)\in \mathbb{R}\times \mathbb{R}^2,$$ where $\alpha\in\mathbb{R}\
Externí odkaz:
http://arxiv.org/abs/2302.09545
Autor:
Almuthaybiri, Saleh1 (AUTHOR) s.almuthybiri@qu.edu.sa, Saanouni, Tarek1 (AUTHOR) t.saanouni@qu.edu.sa
Publikováno v:
Mathematics (2227-7390). Oct2024, Vol. 12 Issue 19, p2999. 12p.