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math.AP2015
On coupled nonlinear Schrodinger equations with harmonic potential
Tarek Saanouni
The initial value problem for some coupled nonlinear Schrodinger system with unbounded potential is investigated. In the defocusing case, global well-posedness is obtained. For the…
math.AP2010★ 4 cited
Well posedness and unconditional non uniqueness for a 2D semilinear heat equation
Slim Ibrahim, Rym Jrad, Mohamed Majdoub +1
We investigate the initial value problem for a semilinear heat equation with exponential-growth nonlinearity in two space dimension. First, we prove the local existence and uncondi…