26 citations · 174 across the 43 of their papers we have counts for
Showing 2026 · math.APShow all
2 papers · 2 filters
math.AP2026
Nonradial Finite-Time Blow-up for the Mass-Critical Inhomogeneous Biharmonic NLS
Ngoc Uyen Cong Nguyen, Van Duong Dinh
We consider the focusing mass-critical inhomogeneous biharmonic nonlinear Schrödinger equation \[ i\partial_tu=Δ^2u-|x|^{-b}|u|^{\frac{8-2b}{N}}u, \quad 0<b<\min\{4,N/2\}. \] We pr…
math.AP2026
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…