most citedWell posedness and unconditional non uniqueness for a 2D semilinear heat equation

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math.AP2014

Global well posedness for the drift-diffusion-Maxwell system in 2D

Najoua El Ghani, Mohamed Majdoub

We prove global existence of strong solutions to the drift-diffusion-Maxwell system in two space dimension. We also provide an exponential growth estimate for the norm of 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…