Finite-time blow-up for the four-dimensional mass-critical quadratic nonlinear Schrödinger system without mass resonance

Ngoc Uyen Cong Nguyen, Van Duong Dinh

We study the focusing quadratic nonlinear Schrödinger system \[ \begin{cases} i\partial_t u+Δu=-2v\overline{u}, \\ i\partial_t v+κΔv=-u^2, \end{cases} \qquad (t,x)\in I\times\mathb…