B. Dodson

most citedAlmost Morawetz estimates and global well-posedness for the defocusing

L^{2}

-critical nonlinear Schr{ö}dinger equation in higher dimensions

4 citations · 9 across the 3 of their papers we have counts for

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math.AP2009★ 2 cited

Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension

Benjamin Dodson

In this paper, we prove global well-posedness for low regularity data for the one dimensional quintic defocusing nonlinear Schrödinger equation. We show that a unique solution exis…

math.AP2009★ 4 cited

Almost Morawetz estimates and global well-posedness for the defocusing $L^{2}$ -critical nonlinear Schr{ö}dinger equation in higher dimensions

Benjamin Dodson

In this paper, we consider the global well-posedness of the defocusing, $L^{2}$ - critical nonlinear Schr{ö}dinger equation in dimensions $n \geq 3$ . Using the I-method, we show th…

math.AP2009★ 3 cited

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Benjamin Dodson

We prove global well-posedness for the cubic, defocusing, nonlinear Schr{ö}dinger equation on $R^{2}$ with data $u_{0} \in H^{s} (R^{2})$ , $s > 1/4$ . We accomplish…

Global well-posedness for the defocusing, quintic nonlinear Schrödinger equation in one dimension

Almost Morawetz estimates and global well-posedness for the defocusing L2-critical nonlinear Schr{ö}dinger equation in higher dimensions

Improved almost Morawetz estimates for the cubic nonlinear Schrodinger equation

Almost Morawetz estimates and global well-posedness for the defocusing $L^{2}$ -critical nonlinear Schr{ö}dinger equation in higher dimensions