3 papers
math.AP2026
Blow-up of solutions to the Euler-Poisson-Darbox equation with critical power nonlinearity
Mengting Fan, Ning-An Lai, Hiroyuki Takamura
In our recent precious work, we established the finite time blow up result and upper bound of lifespan estimate to the singular Cauchy problem of semilinear Euler-Poisson-Darboux e…
math.AP2025
Long-Time Existence of Quasilinear Wave Equations Exterior to Star-shaped Obstacle in
Lai Ning-An, Ren Cui, Xu Wei
In this paper, we study the long-time existence result for small data solutions of quasilinear wave equations exterior to star-shaped regions in two space dimensions. The key novel…
math.AP2025
Morawetz type estimate for damped wave equation in and its application
Daoyin He, Ning-An Lai
In this paper we establish a Morawetz type etimate for the linear inhomogeneous wave equation with time-dependent scale invariant damping in . The novelty i…