Cristi D. Guevara

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20122020

most citedScattering and Blow up for the Two Dimensional Focusing Quintic Nonlinear Schrödinger Equation

11 citations · 25 across the 6 of their papers we have counts for

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math.AP2012★ 11 cited

Global Behavior Of Finite Energy Solutions To The $d$ -Dimensional Focusing Nonlinear Schrödinger Equation

Cristi Guevara

We study the global behavior of finite energy solutions to the $d$ -dimensional focusing nonlinear Schrödinger equation (NLS), $i \partial_{t} u + Δ u + ∣ u ∣^{p - 1} u = 0,$ with initial data…

math.AP2012★ 11 cited

Scattering and Blow up for the Two Dimensional Focusing Quintic Nonlinear Schrödinger Equation

Cristi Guevara, Fernando Carreon

Using the concentration-compactness method and the localized virial type arguments, we study the behavior of $H^{1}$ solutions to the focusing quintic NLS in $R^{2}$ , namely, $$i \par…

Global Behavior Of Finite Energy Solutions To The d-Dimensional Focusing Nonlinear Schrödinger Equation

Scattering and Blow up for the Two Dimensional Focusing Quintic Nonlinear Schrödinger Equation

Global Behavior Of Finite Energy Solutions To The $d$ -Dimensional Focusing Nonlinear Schrödinger Equation