Mohamad Darwich

activity

20112024

L^{2}

-Critical Nonlinear Schrödinger Equation

9 citations · 17 across the 9 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.AP2011★ 7 cited

On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation

Mohamad Darwich

We prove local and global well-posedness in $H^{s, 0} (R^{2})$ , $s > - 1/2$ , for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers-I equation (KPBI) by w…

math.AP2011★ 9 cited

Blowup for the Damped $L^{2}$ -Critical Nonlinear Schrödinger Equation

Mohamad Darwich

We consider the Cauchy problem for the $L^{2}$ -critical damped nonlinear Schrödinger equation. We prove existence and stability of finite time blowup dynamics with the log-log blow…

On the well-posedness for Kadomtsev-Petviashvili-Burgers I equation

Blowup for the Damped L2-Critical Nonlinear Schrödinger Equation

Blowup for the Damped $L^{2}$ -Critical Nonlinear Schrödinger Equation