Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Saleh Almuthaybiri"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30230-30262 (2024)
This study explored the time asymptotic behavior of the Schrödinger equation with an inhomogeneous energy-critical nonlinearity. The approach follows the concentration-compactness method due to Kenig and Merle. To address the primary challenge posed
Externí odkaz:
https://doaj.org/article/39acfff09db14540a4731e1d43d72d39
Autor:
Saleh Almuthaybiri, Tarek Saanouni
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27871-27895 (2024)
This work studies a coupled non-linear Schrödinger system with a singular source term. First, we investigate the question of the local existence of solutions. Second, one proves the existence of global solutions which scatter in some Sobolev spaces.
Externí odkaz:
https://doaj.org/article/a225b07af66341e89f5cc05484912254
Autor:
Saleh Almuthaybiri, Tarek Saanouni
Publikováno v:
Mathematics, Vol 12, Iss 19, p 2999 (2024)
This work studies an inhomogeneous generalized Hartree equation with inverse square potential. The purpose is to prove the existence and strong instability of inter-critical standing waves. This means that there are infinitely many data near to the g
Externí odkaz:
https://doaj.org/article/4063bd0c29bf406fb07fd4cdd37a6903
Publikováno v:
Mathematics, Vol 11, Iss 23, p 4713 (2023)
The present paper investigates the following inhomogeneous generalized Hartree equation iu˙+Δu=±|u|p−2|x|b(Iα∗|u|p|·|b)u, where the wave function is u:=u(t,x):R×RN→C, with N≥2. In addition, the exponent b>0 gives an unbounded inhomogene
Externí odkaz:
https://doaj.org/article/16ef1dfa48dd4888b2508dffcbd7ce6d