论文标题
具有潜力的非线性schrödinger方程的最小质量爆炸溶液
Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential
论文作者
论文摘要
我们考虑具有实数潜力的质量批判性非线性schrödinger方程。在这项工作中，我们构建了一个最小的质量解决方案，该解决方案在有限的时间爆炸，在空间维度和潜力较弱的情况下，比Banica，Carles和Duyckaerts（2011）。此外，我们表明爆炸解决方案会收敛到爆炸曲线。此外，我们改善了Raphaël和Szeftel（2011）和Le Coz，Martel和Raphaël（2016）中的某些部分。
We consider a mass critical nonlinear Schrödinger equation with a real-valued potential. In this work, we construct a minimal mass solution that blows up at finite time, under weaker assumptions on spatial dimensions and potentials than Banica, Carles, and Duyckaerts (2011). Moreover, we show that the blow-up solution converges to a blow-up profile. Furthermore, we improve some parts of the arguments in Raphaël and Szeftel (2011) and Le Coz, Martel, and Raphaël (2016).
