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math.AP2019★ 15 cited
Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation
Thierry Cazenave, Zheng Han
We study the time-asymptotic behavior of solutions of the Schrödinger equation with nonlinear dissipation \begin{equation*} \partial _t u = i Δu + λ|u|^αu \end{equation*} in ${\mat…
math.AP2019★ 6 cited
Blowup on an arbitrary compact set for a Schödinger equation with nonlinear source term
Thierry Cazenave, Zheng Han, Yvan Martel
We consider the nonlinear Schrödinger equation on , , \begin{equation*} \partial _t u = i Δu + λ| u |^αu \quad \mbox{on , ,} \end{equat…