论文标题
2D中质量关键半波方程的爆炸动力学
Blowup dynamics for mass critical Half-wave equation in 2D
论文作者
论文摘要
我们考虑半波方程$ iu_t = du- | u | U $在二维中。对于初始数据$ u_0（x）\ in H^{s}（\ Mathbb {r}^2）$，$ s \ in \ left（\ frac {3} {4} {4}，1 \ right）$，我们获得了非radial distar oftect State State Mass Bough solution $ \ | d^{\ frac {1} {2}} u（t）\ | _ {l^2} \ sim \ sim \ frac {1} {| t |} $ as $ t \ to $ t \ to 0^ - $。
We consider the half-wave equation $iu_t=Du-|u|u$ in two dimensions. For the initial data $u_0(x)\in H^{s}(\mathbb{R}^2)$, $s\in\left(\frac{3}{4},1\right)$, we obtain the non-radial ground state mass blow-up solutions with the blow-up speed $\|D^{\frac{1}{2}}u(t)\|_{L^2}\sim\frac{1}{|t|}$ as $t\to 0^-$.
